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Name: Dr. Tariq Shah
Designation: Professor
Department: Mathematics


Qualifications:

Ph. D. Mathematics (Commutative Algebra), University of Bucharest, Romania, 2000.

M. Phil. Mathematics, Quaid-i-Azam University, Isamabad, Pakistan, 1991.

M. Sc. Mathematics, Quaid-i-Azam University, Isamabad, Pakistan, 1989.

B. Sc. (Maj. Physics, Mathematics A & B), University of Karachi, Karachi, Pakistan, 1986.

 



Phone: +92-51 9064-2191
Email: stariqshah@gmail.com
Status: On Job
Other Weblink: Tariq Shah - HEC Control Panel

View Resume

Research Interests Publications Conferences Research Projects

Commutative Algebra, Algebraic Coding Theory, Cryptography, Group Generalizations, Fuzzy & Soft Structures, Development Economics  

 

I.              Books/book chapter

 

1.      Syed Akhter Hussain Shah and Syed Tariq Shah, Implications of Bilateral and Sub-regional Trade Agreements on Economic Cooperation: A Case Study of SAARC in South Asia, Towards an Asian Century: Future of Economic Cooperation in SAARC Countries, (Ed. Mushir Anwar), ISBN: 978-969-8721-44-2 , IPRI, HSF, Islamabad, Pakistan (2014), Pp. 177-191.

2.       Hammad Dilpazir, Hasan Mahmood, Tariq Shah and Hafiz Malik (2012). Source Coding and Channel Coding for Mobile Multimedia Communication, Mobile Multimedia - User and Technology Perspectives, Dian Tjondronegoro (Ed.), ISBN: 978-953-307-908-0, InTech,  Available from: http://www.intechopen.com/articles/show/title/source-coding-and-channel-coding-for-mobile-multimedia-communications

 

II.            Published Research Papers

 

2016

 

1.       Text Embedded into Encrypted Image based on Genetic Algorithm on Piece-Wise Linear Chaotic Map, Bano Mahwish, T. M. Shah and Shah Tariq,  Indian Journal of Science and Technology, Vol 9(8), DOI: 10.17485/ijst/2016/v9i8/79067, February 2016

2.       A watermarking Technique with Chaotic Fractional S-Box Transformation, Sajjad shoukat Jamal, Muhammad Usman Khan, Tariq Shah, Wireless Pers Commun (2016) 90:2033–2049, DOI 10.1007/s11277-016-3436-0 (ISI, IF: 0.701)

3.       Cyclic codes as ideals in F2[x;aN0]n,  F2[x]an ,  F2[x;(1/b) N0]abn; A linkage, T. Shah and Asma Shaheen, U.P.B. Sci. Bull., Series A, Vol. 78, Iss. 3, 2016 (ISI, IF: 0.42 )

4.       A highly nonlinear S-box based on a fractional linear transformation, S Farwa, T Shah, L Idrees, Springer Plus 5 (1), 1658 (ISI, IF: 0.982 )

5.       An association between primitive and non-primitive BCH codes using monoid rings, AS Ansari, T Shah, EURASIP Journal on Wireless Communications and Networking 2016 (1), 1-9 (ISI, IF: 0.627)

6.       Onion steganography: a novel layering approach, F Baig, MF Khan, S Beg, T Shah, K Saleem, Nonlinear Dynamics 84 (3), 1431-1446 (ISI, IF: 2.419)

7.       Encrypting grayscale images using S8 S-boxes chosen by logistic map, T Shah, A Qureshi, International Journal of Computer Science and Information Security 14 (4), 440 (ISI, IF: )

8.       Construction of S-box based on chaotic Boolean functions and its application in image encryption, M Khan, T Shah, SI Batool, Neural Computing and Applications 27 (3), 677-685 (ISI, IF: 1.763)

9.       Characterization of cyclic codes over { [X;(1/m) Z0]} m> 1 and efficient encoding decoding algorithm for cyclic codes, T Shah, NA Azam - International Journal of Computer Mathematics, 2016, http://dx.doi.org/10.1080/00207160.2016.1158815 (ISI, IF: 0.577)

10.    IMAGE RECONSTRUCTION AND TEXT EMBEDDING USING GRAPH CUT, M Bano, T Shah, R Talat, TM Shah, Science International . 2016, Vol. 28 Issue 2, p905-911. 7p. ()

11.    Application of soft sets to non-associative rings, T Shah, A Razzaque, I Rehman - Journal of Intelligent & Fuzzy Systems, 2016, 30(3)1537-1546 (ISI, IF: 0.936)

12.    A new implementation of chaotic S-boxes in CAPTCHA, M Khan, T Shah, SI Batool - Signal, Image and Video Processing, February 2016, Volume 10, Issue 2, pp 293–300 (ISI, IF: 1.019)

2015

13.    Intuitionistic Fuzzy Soft Set Decision Criterion for Selecting Appropriate Block Cipher, T Shah, S Medhit, G Farooq, 3D Research 6 (3), 1-15

14.    An efficient construction of substitution box with fractional chaotic system, M Khan, T Shah, Signal, Image and Video Processing 9 (6), 1335-1338 (ISI, IF: 1.019)

15.    A note over constructions of cyclic codes over certain semigroups, A.A. Andrade and T. Shah, Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, Vol. 3, N. 1, 2015. Trabalho apresentado no XXXV CNMAC, Natal-RN, 2014

16.    An efficient chaotic image encryption scheme, M. Khan, T. Shah, Neural Computing and Applications 26 (5), 1137-1148 (ISI, IF: 1.763)

17.    A copyright protection using watermarking scheme based on nonlinear permutation and its quality metrics, M. Khan, T. Shah, Neural Computing and Applications 26 (4), 845-855 (ISI, IF: 1.763)

18.    A brief description about the fathers of computer and information sciences, M Khan, T Shah, A Shahab, Nonlinear Engineering 4 (1), 39-141

19.    Employment Strategy and Equitable Growth-A Social Capital Perspective for KPK, SAH Shah, T Shah, M Khalid, PIDE-Working Papers, 2015:120

20.    A Novel Cryptosystem Based on General Linear Group, M Khan, T Shah, 3D Research 6 (1), 1-8

21.    Bandwidth-Efficient Selective Retransmission for MIMO-OFDM Systems, Muhammad Zia, Tamour Kiani, Nazar A. Saqib, Tariq Shah, and Hasan Mahmod, ETRI Journal, vol. 37, no. 1, Feb. 2015, pp. 66-76. http://dx.doi.org/10.4218/etrij.15.0114.0050 (ISI, IF: 0.945)

22.    Maximal cyclic subgroups of the groups of units of Galois rings: a computational approach, T Shah, N Mehmood, AA de Andrade, R Palazzo Jr, Computational and Applied Mathematics, 1-25 (ISI, IF: 0.802)

23.    SOFT M-SYSTEMS IN A CLASS OF SOFT NON-ASSOCIATIVE RINGS, T Shah, A Razzaque, UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 77(3), 131-142 (ISI, IF: 0.42 )

24.    A novel construction of substitution box with Zaslavskii chaotic map and symmetric group, M Khan, T Shah, Journal of Intelligent & Fuzzy Systems 28 (4), 1509-1517  (ISI, IF: 0.936)

 

2014

25.    An efficient chaotic image encryption scheme, Majid Khan, Tariq Shah, Neural Comput & Applic, Springer, DOI :10.1007/s00521-014-1800-0. (ISI, IF: 1.763)

26.    A copyright protection using watermarking scheme based on nonlinear permutation and its quality metrics, Majid Khan, Tariq Shah, Neural Comput & Applic, Springer, doi: 10.1007/s00521-014-1747-1.  (ISI, IF: 1.763)

27.    A novel construction of substitution box with Zaslavskii chaotic map and symmetric group, Majid Khan, Tariq Shah, Journal of Intelligent & Fuzzy Systems xx (20xx) x–xx, DOI:10.3233/IFS-141434. (ISI, IF: 0. 936)

28.    Texture analysis of chaotic coupled map lattices based image encryption algorithm, Majid Khan, Tariq Shah and Syeda Iram Batool,  3D Res (2014), DOI: 10.1007/s13319-014-0019-2

29.    A literature review on image encryption, Majid Khan and Tariq Shah,  3D Res (2014), 10.1007/s13319-014-0029-0, 5:29.

30.    A Novel Cryptosystem Based on General Linear Group, Majid Khan, Tariq Shah,  3D Research, December 2014, 6:2, 1-8. DOI: 10.1007/s13319-014-0035-2.

31.    Topological LA-modules, Nisar Ahmad, Tariq Shah, Journal of Advanced Research in Pure Mathematics, Vol. 6, Issue. 4, 2014, pp. 1-8, doi: 10.5373/jarpm.1870.103013

32.    Fuzzy γ-ideals in γ-AG-groupoids, Tariq Shah, Inayat-ur-Rehman and Asghar Khan, Hacettepe Journal of Mathematics and Statistics, (Turkey) Volume 43(4) (2014), 625–634. (ISI, IF: 0.443)   

33.    A novel image encryption technique based on Hénon chaotic map and S8 symmetric group, Majid Khan and Tariq Shah, Neural Comput & Applic, December 2014, Volume 25, Issue 7-8, pp 1717-1722. DOI :10.1007/s00521-014-1663-4. (ISI, IF: 1.763)

34.    A color image watermarking scheme based on affine transformation and S4 permutation, Syeda Iram Batool, Tariq Shah,  Majid Khan, Neural Comput & Applic,  (2014) 25:2037–2045. DOI: 10.1007/s00521-014-1691-0, (ISI, IF: 1.763)

35.    Primary decomposition in a soft ring and a soft module, T. Shah and S. Medhit, IJST (2014) 38A3 (Special issue-Mathematics): 311-320.

36.    A new transmission model in cognitive radio based on cyclic generalized polynomial codes for bandwidth reduction, Naveed Ahmed Azam, Tariq Shah, Antonio Aparecido de Andrade, Discrete Mathematics, Algorithms and Applications, Vol. 6, No. 4(2014) 1450059 (10 pages). DOI:10.1142/S1793830914500591. , (Springer)

37.    Image encryption algorithm based on total shuffling scheme and chaotic S-box transformation, I. Hussain, T. Shah, M. A. Gondal,  Journal of Vibration and Control, 2014, Vol. 20(14) 2133–2136. (ISI, IF: 4.355)

38.    A BCH-CODE AND A SEQUENCE OF CYCLIC CODES, Tariq Shah, Mubashar Khan and Antonio Aparecido de Andrade, International Journal of Algebra, Vol. 8, 2014, no. 11, 547 - 556.

39.    TRIGONOMETRIC POLYNOMIAL RINGS AND THEIR FACTORIZATION PROPERTIES, Ehsan Ullah and Tariq Shah, Mathematicki Vesnik (Serbia), MATEMATIQKI VESNIK, 66, 3 (2014), 301–314, September 2014.

40.    Spectrum Distribution in Cognitive Radio: Error Correcting Codes Perspective, Syed Azmat HussainTariq ShahNaveed Ahmed AzamAntonio Aparecido de Andrade, and Aqdas Naveed Malik, International Journal of Distributed Sensor Networks, Volume 2014 (2014), Article ID 864916, 8 pages
http://dx.doi.org/10.1155/2014/864916 (ISI, IF: 0.933).

41.    A Novel Statistical Analysis of Chaotic S-box in Image Encryption, Majid Khan and Tariq Shah, 3D Res (2014) 5:16, DOI 10.1007/s13319-014-0016-5 (Springer)

42.    Analyses of S-box in image encryption applications based on fuzzy decision making criterion, Inayatur  Rehman, Tariq Shah and Iqtadar Hussain, Z. Naturforsch. 69a, 207 – 214 (2014). (Germany) (ISI, IF: 0.908).

43.    Soft Topological groups and rings, Tariq Shah and Salma Shaheen, Annals of Fuzzy Mathematics and Informatics, Volume 7, No. 5, (May 2014), pp. 725–743.

44.    An efficient construction of substitution box with fractional chaotic System, Majid Khan and Tariq Shah, Signal, Image and Video Processing, (UK), doi: 10.1007/s11760-013-0577-4 (ISI, IF: 0.409).

45.    A construction of novel chaos base nonlinear component of block cipher, Majid Khan and Tariq Shah, Nonlinear Dyn. (USA), April 2014, Volume 76, Issue 1, pp 377-382. (ISI, IF: 2.419)

46.    GOPPA CODES OVER CERTAIN SEMIGROUPS, Antonio Aparecido de Andrade, Tariq Shah, Naveed Ahmed Azam, Syed Azmat Hussain, International Journal of Applied Mathematics, Volume 27 No. 1 2014, 65-71.

47.    Stego optical encryption based on chaotic S-box transformation, Iqtadar Hussain, Naveed Ahmed Azam, Tariq Shah,  Optics & Laser Technology 61(2014)50–56. (ISI, IF: 1.649) 

48.    Characterizations of non-associative ordered semigroups by their fuzzy bi-ideals, Tariq Shah and Nasreen Kausar, Theoretical Computer Science, Vol. 529, (2014), 96-110. http://dx.doi.org/10.1016/j.tcs.2014.02.007, (ISI, IF: 0.516) 

2013

49.    On existence of nonassociative LA-ring, Inayatur-Rehman, Muhammad Shah, Tariq Shah and Asima Razzaque, An. St. Univ. Ovidius Constanta, Vol. 21(3),2013, 223-228. (ISI, IF: 0.221)  

50.    Domains like Krull domains and their factorization properties, Waheed Ahmad Khan, Tariq Shah and Abdelghani Taouti, World Applied Sciences Journal, Vol 22(1), 2013, 121-125.

51.    Topological LA-semigroups, Tariq Shah and Nisar Ahmed, J. Adv. Res. Pure Math. (USA), Vol. 5, Issue. 4, 2013, pp. 37-44 doi: 10.5373/jarpm.1191.112611.

52.    Half-Factoriality in Subrings of Trigonometric Polynomial Rings,  Ehsanullah and Tariq Shah, TEMA Tendencias em Matematica Aplicada e Computacional, 14, N. 2 (2013), 1-14

53.    Literature survey on nonlinear components and chaotic nonlinear components of block ciphers, I. Hussain, T. Shah, Nonlinear Dyn (2013) 74:869–904, DOI 10.1007/s11071-013-1011-8. . (USA) (ISI, IF: 2.419)

54.    A decoding method of an n length binary BCH-code through (n+1)n length binary cyclic code, Tariq Shah and Mubashar Khan, Antonio Aparecido de Andrade, Anais da Academia Brasileira de Ciencias (2013) 85(3), 345-354: (Brazil). (ISI, IF: 0.85)

55.    On codes over Quaternion integers, T. Shah, Sumaira Said Rasool, Applicable Algebra in Engineering Communication and Computing, (Springer, France), DOI: 10: 10.1007/s00200-013-0203-2  (ISI, IF: 0.756)

56.    Decomposition of  locally associative Gamma AG-groupoids, Tariq Shah and Inayatur Rehman, Novi Sad J. Math. (Serbia), Vol. 43, No. 1, 1-8 (2013).

57.    Fields of two power conductor, Antonio Aparecido de Andrade, Eduardo Rogerio, Tariq Shah, JARAM (USA), V. 5, Issue 3, p. 97-102, 2013.

58.    Uma Construcao de Codigos BCH, Antonio Aparecido de Andrade, Tariq Shah, Revista Electronica Paulista de Matematica, (Brazil, Portages) 2(1) (2013), 1-7.

59.    An efficient technique for the construction of substitution box with chaotic partial differential equation, Majid Khan, Tariq Shah and Muhammad Asif Gondal, Nonlinear Dyn. (USA) (2013) 73:1795–1801, DOI 10.1007/s11071-013-0904-x  (ISI, IF: 2.419)

60.    Substitution Box on Maximal Cyclic Subgroup of units of a Galois Ring, Tariq Shah, Attiq Qamar and Iqtadar Hussain, Z. Naturforsch A. (Germany). 68a, 567 – 572 (2013) / DOI: 10.5560/ZNA.2013-0021. (ISI, IF: 0.908)

61.    A method for improving the code rate and error correction capability of a cyclic code, Tariq Shah, Amanullah, Antonio Aparecido de Andrade, , Comp. Appl. Math., (Springer, Brazil) ) (ISI, IF: 0.802) (2013), DOI 10.1007/s40314-013-0010-1.

62.    An efficient scheme for digital watermarking using chaotic map, Sajjad Shoukat Jamal, Tariq Shah and Iqtadar Hussain, ,  Nonlinear Dyn. (USA),  DOI 10.1007/s11071-013-0877-9. (ISI, IF: 2.419) 

63.    On Comparability Conditions and Generalized Valuation Maps, Tariq Shah and Asma Shaheen Ansari, Palestine Journal of Mathematics,  Vol. 2(1) (2013) , 22–31, (Palestine).

64.    Fuzzy ideals in Laskerian rings, Tariq Shah and Muhammad Saeed, Mathematicki Vesnik, (Serbia)  65, 1 (2013), 74–81.

65.    A Novel Image Encryption Algorithm Based on Chaotic Maps and GF(2^8) Exponent Transformation, I. Hussain, T. Shah, M. A. Gondal, and H. Mahmood,  Nonlinear Dyn. (USA), Vol:72, Issue. 1-2 pp:399-406, (2013). (ISI, IF: 2.419)

66.    A novel method for designing nonlinear component for block cipher based on TD-ERCS chaotic sequence, I. Hussain, T. Shah, M. A. Gondal, and H. Mahmood, Nonlinear Dyn. (USA), DOI 10.1007/s11071-013-0816-9 (2013). (ISI, IF: 2.419)                                                                                                         

67.    Application of S-box and chaotic map for image encryption,  I. Hussain, T. Shah, M. A. Gondal, Mathematical and Computer Modelling, Vol:57, Issue. 9-10 pp: 2576-2579,  doi:10.1016/j.mcm.2013.01.009 (2013). (ISI, IF: 2.020)                                        

68.    An efficient method for the construction of block cipher with multi-chaotic systems, Majid Khan, Tariq Shah,  Hasan Mahmood,  Muhammad Asif Gondal, Nonlinear Dyn. (USA), Volume 71, Issue 3,  489-492, (2013). (ISI, IF: 2.419)

69.    An efficient approach for the construction of LFT S-boxes using chaotic logistic map, I. Hussain, T. Shah, M. A. Gondal, and H. Mahmood, Nonlinear Dyn. (USA), 71:133–140, (2013).  (ISI, IF: 2.419)

70.    A projective general linear group based algorithm for the construction of substitution box for block ciphers, Hussain, I., Shah, T., Gondal, M.A., Mahmood, H., Neural Comput. Appl. (Germany), (2013), Vol 22, pp. 1085-1093, (ISI, IF: 1.1763)

71.    A group theoretic approach to construct cryptographically strong substitution boxes, Hussain, I., Shah, T., Gondal, M.A., Khan, W.A., Mahmood, H.,  Neural Comput. Appl. (USA), (2013), Vol 23, pp. 97-104, (ISI, IF: 1.763)

 

2012                                                                                                                                                                                                                                                                                              

72.    Linear Codes over Finite Local Rings in a Chain, Tariq Shah, Antonio Aparecido de Andrade, Journal of Advanced Research in Applied Mathematics, (USA) Vol. 4, Issue 4, pp. 66-77, (2012).

73.    Construction of New S-Boxes Over Finite Field and Their Application to Watermarking, I. Hussain, T. Shah, M. A. Gondal, and H. Mahmood, Z. Naturforsch A. (Germany) 67a, 705 – 710, (2012). (ISI, IF: 0.908)

74.    Cyclic codes through B[X;(a/b)Z₀]((a/b)Q, b=a+1) and Encoding, Tariq Shah and Antonio Aparecido de Andrade, Discrete Mathematics, Algorithms and Applications (DMAA), (World Scientific, ) Volume 04, Issue 04, DOI: 10.1142/S1793830912500590, December 2012.

75.    Constructions and Decoding of a sequence of BCH codes, Tariq Shah, Attiq Qamar and Antonio Aparecido de Andrade, MATH. SCI. RES. J. (USA) 16(9) 234-250, 2012.

76.    A novel approach for designing substitution-boxes based on a nonlinear chaotic algorithm, Iqtadar Hussain, Tariq Shah, Muhammad Asif Gondal, Nonlinear Dyn. (USA), Vol. 70, No. 3, 1791-1794, Nov. 2012. (ISI, IF: 2.419). 

77.    Image encryption algorithm based on PGL(2,GF(28)) S-boxes and TD-ERCS chaotic sequence,  Iqtadar Hussain, Tariq Shah, Muhammad Asif Gondal, Nonlinear Dyn. (USA), 70:181–187, (2012). (ISI, IF: 2.419)

78.    A decoding procedure which improves code rate and error corrections, Tariq Shah, Amanullah, Antonio Aparecido de Andrade, Journal of Advanced Research in Applied Mathematics, (USA) Vol. 4, Issue 4, 37-50, (2012).

79.    A note on units of finite local rings in an ascending chain, Antonio Aparecido de Andrade, Tariq Shah, International Journal of Applied Mathematics, (Bulgaria) Volume 25, No. 3, 347-356, (2012).

80.    A novel technique for the construction of strong S-boxes based on chaotic Lorenz systems, Majid Khan,  Tariq Shah, Hasan Mahmood,  Muhammad Asif Gondal,  Iqtadar Hussain, Nonlinear Dyn. (USA), 70:2303–2311, (2012). (ISI, IF: 2.419)                                                                                                    

81.    An efficient image encryption algorithm based on S8 S-box transformation and NCA map, Iqtadar Hussain, Tariq Shah, Muhammad Asif  Gondal, Optics Communications (Netherland), 285, 4887–4890, (2012). (ISI, IF: 1.542) 

82.    On Characterizations of LA-rings through some properties of their ideals, Tariq Shah and Inayatur Rehman, Southeast Asian Bulletin of Mathematics, (Springer, China) 36:1-11, (2012). 

83.    Construction and decoding of BCH codes over chain of commutative rings, Tariq Shah, Attiq Qamar and Antonio Aparecido de Andrade, Mathematical Sciences (Springer, Iran), 6:51 doi:10.1186/2251-7456-6-51, (2012).

84.    A transmission model in cognitive radio based on error correcting codes, S. A. Hussain, T. Shah and N. Azam, Archives Des Sciences, (Switzerland) Vol 65, No. 9, 568-576, (Sep. 2012).

85.    Analysis of S-box in image encryption using root mean square error method, Hussain, I., Shah, T., Gondal, M.A., Mahmood, H., Z. Naturforsch. A, (Germany) 67a, 327–332, (2012). (ISI, IF: 0.908)                                                                     

86.    Generalized majority logic criterion to analyze the statistical strength of S-boxes, Hussain, I., Shah, T., Gondal, M.A., Mahmood, H., Z. Naturforsch. A, (Germany) 67a, 282–288, (2012).  (ISI, IF: 0.908)                                                                  

87.    S8 affine power affine S-boxes and their application, Hussain, I., Shah, T., Gondal, M.A., Mahmood, H., Neural Comput. Appl. Neural Comput & Applic. (USA) 21 (Suppl 1):S377–S383, (2012). (ISI, IF: 1.763)

88.    Construction of S8 Lui J S-boxes and their application, Hussain, I., Shah, T., Mahmood, H., Gondal, M.A., Comput. Math. Appl. (England) 64, 2450–2458, (2012). (ISI, IF: 1.996)                                                                                             

89.    Factorization properties and chain conditions on ideals: A linkage, M. Saeed, Tariq Shah, Inayaturrehman and Waheed Ahmad Khan, Archives Des Sciences, (Switzerland) Vol 65, No. 5; 485-492, (May 2012).

90.    Intuitionistic Fuzzy Normal subrings over a non-associative ring, Tariq Shah, Nasreen Kausar and Inayatur-Rehman, An. St. Univ. Ovidius Constanta, (Romania) Vol. 20(1), 369–386, (2012).                                                         (ISI, IF: 0.221)  

91.    Cyclic codes through B[X], B[X;(1/(kp))Z0] and B[X;(1/(pk))Z0]: A comparison, Tariq Shah and Antonio Aparecido de Andrade,  Journal of Algebra and its applications, (Springer, Singapore) Vol.11,No.4, 1250078 (19 pages), DOI No: 10.1142/S0219498812500788, (2012). (ISI, IF: 0.59)                                           

92.    Stability of some integral domains on a pullback, Tariq Shah and Sadia Medhat, Mathematicki Vesnik, (Serbia) 64, 2, 109–123, (2012).

93.    On Fuzzy Ideals in Rings and Anti-homomorphism, Tariq Shah and Muhammad Saeed, International Mathematical Forum, (Bulgaria) Vol. 7, no. 16, 753-759, (2012).

2011

94.    Goppa codes through polynomials of B[X;(1/22)Z0] and its decoding principle, Antonio Aparecido de Andrade and Tariq Shah, Journal of Advanced Research in Applied Mathematics, (USA) Volume 3, Issue 4,12 – 20, (2011).

95.    On Some Generalized Valuation Monoids, Tariq Shah and W. A. Khan, Novi Sad J. Math. (Serbia), Vol. 41, No. 2, 111-116, (2011).

96.    Top-Down Approach for the Social Capital Development: A Policy Framework for the Government, International Journal of applied Mathematics and Applications, (India) Tariq Shah, Syed Akhter Hussain Shah, Eatzaz Ahmed & Bakhtiar Ali, Vol. 3 No. 1, 1-17, (2011).

97.    Irreducible generalized polynomials in a monoid ring, Tariq Shah and Rizwan Salim Badar, J. Adv. Res. Pure Math. (USA), Volume 3, Issue 4, 24 – 32, (2011).

98.    Construction of New S-box using a Linear Fractional Transformation, Iqtadar Hussain, Tariq Shah, Muhammad Asif Gondal, Majid Khan and Waqar Ahmad Khan,  World Applied Sciences Journal (Iran), 14 (12): 1779-1785, (2011) (Scopus, ISI)                                                                                                           

99.    Soft Ordered AG-groupoids, Tariq Shah, Inayatur-Rehman and Aasima Razzaque,  International Journal of the Physical Sciences, Vol. 6(25), pp. 6118-6126, 23 October, (2011) (Nigeria).

100.Equilibrium in Economic Development: A Perspective of Social Capital,  Tariq Shah, Bakhtiar Ali, Syed Akhter Hussain Shah and Eatzaz Ahmed, World Applied Sciences Journal (Iran), 14(12): 1823-1837, (2011). (Scopus, ISI)

101.Analysis of SKIPJACK S-Box, Iqtadar Hussain, Tariq Shah, Muhammad Asif Gondal, Yong Wang, World Applied Sciences Journal (Iran), 13 (11): 2385-2388, (2011). (ISI, Scopus)                                                                                                 

102. Construction of Cryptographically Strong 8x8 S-Boxes, Iqtadar Hussain, Tariq Shah, Muhammad Asif Gondal and Waqar Ahmad Khan, World Applied Sciences Journal (Iran), 13 (11): 2389-2395, (2011). (ISI, Scopus)

103. Goppa codes via B[X;(1/(3²))Z₀] and  its decoding principle, A.A. Andrade and T. Shah, International Journal of Applied Mathematics (Bulgaria), Vol. 24, No. 4, 563-572, (2011).

104.Some Analysis of S-box Based on Residue of  Prime Number, Iqtadar Hussain, Tariq Shah, Hasan Mahmood, Muhammad Asif Gondal and Usman Younas Bhatti, Proceedings of the Pakistan Academy of Sciences (Pakistan) 48 (2), 111-115, (2011). (HEC Recognized, Category X).

105. A note on linear codes over semigroup rings, A.A. Andrade, T. Shah and A. Khan, TEMA Tend. Mat. Apl. Comput. (Brazil), 12, No. 2, 79-89, (2011).

106. Encoding through generalized polynomial codes, Tariq Shah, Atlas Khan  and Antonio Aparecido de Andrade, Computational & Applied Mathematics (Springer, Brazil), Vol. 30, N. 2, 1–18, (2011). (ISI, IF: 0.802)                                                         

107.  Some basic properties of LA-rings, Muhammad Shah and Tariq Shah, International Mathematical Forum (Bulgaria), Vol. 6, no. 44, 2195-2199, (2011).

108. On the cancellativity of AG-groupoids, M. Shah, T. Shah, A. Ali, International Mathematical Forum (Bulgaria), Vol. 6, no. 44, 2187-2194, (2011).

109. A note on Laskerian Rings, Tariq Shah and Muhammad Saeed,  Proceedings of the Pakistan Academy of Sciences (Pakistan), 48 (1), 1–18, (2011). (HEC Recognized, Category X).

110. Statistical Analysis of S-boxes based on Image Encryption, Tariq Shah, Iqtadar Hussain, Asif Gondal and Hasan Mahmood,  International Journal of the Physical Sciences (Nigeria), Vol. 6(16),  4110-4127, (18 August, 2011).                                                                                           

111. Constructions of codes through semigroup ring B[X;(1/(2²))Z₀] and encoding,  Tariq Shah, Atlas Khan and Antonio Aparecido de Andrade, COMPUTERS & MATHEMATICS WITH APPLICATIONS (England), 62, 1645-1654, (2011). (ISI, IF: 1.996)                                                                                                                                                                                                                              

112. On Near Left Almost Rings, Tariq Shah, Fazal ur Rehman and Muhammad Raees, International Mathematical Forum (Bulgaria), Vol. 6,  no. 23, 1103-1111, (2011).

113. Direct Sum of Ideals in a Generalized LA-Ring, Tariq Shah, Gauhar Ali and Fazal ur Rehman, International Mathematical Forum (Bulgaria), Vol. 6, no. 22, 1095-1101, (2011).

114. On LA-Modules, Tariq Shah, Muhammad Raees and Gauhar Ali, Int. J. Contemp. Math. Sciences (Bulgaria), Vol. 6, no. 21, 999-1006, (2011).

 

2010

115. On Ordering of AG-Groupoids, Tariq Shah, Inayatur Rehman and Asif Ali, International Electronic Journal of Pure and Applied Mathematics (Bulgaria),Volume 2, No. 4, 219-224, (2010).

116. A non-Noetherian Laskerian Domain in which every primary ideal is a valuation ideal, Tariq Shah and Muhammad Saeed, International Electronic Journal of Pure and Applied Mathematics (Bulgaria), Volume 2, No. 4, 211-217, (2010).

117. Graphical Sac analysis of S8 APA S-box, Hussain, I., Shah, T., Aslam, K.S, Adv. Algebra (India) 3(1), 57–62 (2010).

118. On M-Systems in Ordered AG-Groupoids, Tariq Shah, Inayatur Rehman and Ronnason Chinram,  Far East Journal of Mathematical Sciences (FJMS) (India), Volume 47, Number 1, 13-21, (2010).

119. A note on strongly Laskerian domains, Tariq Shah and Muhammad Saeed, Advances in Algebra (India), Volume 3, Number 1, 79-86, (2010).

120. A generalization of integral dependence, Tariq Shah, Shabieh Farwa and Rizwan Salim Badar, Advances in Algebra (India), Volume 3, Number 1,  43-55, (2010).

121. Goppa Codes Through generalized polynomials and its Decoding principle, Antonio Aparecido de Andrade, Tariq Shah and Atlas Khan, International Journal of Applied Mathematics (Bulgaria), Vol. 23, No. 3, 517-526, (2010).

122. Comparative Analysis of S-boxes Based on Graphical SAC, Iqtadar Hussain, Tariq Shah, Hasan Mahmood and Mehreen Afzal, International Journal of Computer Applications (USA) (0975 – 8887), Volume 2, No.5, (June 2010).

123. Topological LA-groups and LA-rings, Tariq Shah and Kamran Yousaf, Quasigroups and Related Systems (Poland), 18, 11-20, (2010).

124. Subrings in Trigonometric polynomial Rings, Tariq Shah and Ehsan Ullah,  Acta Mathematica, Academiae, Paedagogicae, Ny´regyh´aziensis (Serbia), 26, 35–43, (2010).

125.  A new Algorithm to Construct Secure Keys for AES, Iqtadar Hussain, Tariq Shah and Hasan Mahmood , Int. J. Contemp. Math. Sciences (Bulgaria), Vol. 5, no. 26, 1263 – 1270, (2010).

126. On M-Systems in γ-AG-groupoids,  Tariq Shah and Inayatur Rehman,  Proceedings of the Pakistan Academy of Sciences (Pakistan), 47(1), 33-39, (2010). (HEC, X-Category).

127. Algebraic representation of Social Capital Matrix, Tariq Shah, S.A.H. Shah and Eatzaz Ahmed, PIDE-Working Papers: Pakistan Institute of Development Economics (Pakistan), 61, (2010).

128. On factorization properties of monoid S and monoid domain D[S], Tariq Shah and W. A. Khan, International Mathematical Forum (Bulgaria), 5, no. 18, 891-902, (2010).

129. Relative Ascent and Descent in a Domain Extension, Tariq Shah,  Inter. Elec. J. Algebra (Turkey), Vol. 7, 34-46, (2010).

130. On γ-Ideals and γ-Bi-Ideals in γ-AG-Groupoids, Tariq Shah and Inayatur Rehman, Inter. J. Algebra (Bulgaria), Vol. 4, no.6, 267-276, (2010).

131. On LA-rings of finitely nonzero functions, Tariq Shah and Inayatur Rehman, Int. J. Contemp. Math. Sciences (Bulgaria), Vol. 5, no. 5, 209 – 222, (2010)

2009

132. Factorization Properties of Sub rings in Trigonometric Polynomial Rings, Tariq Shah and Ehsan Ullah, Publications de La’ Institute Mathematique, Nouvelle serie, tome (Serbia),  86 (100), 123-131, (2009).

2008

133. Corrigendum: Unsteady three-dimensional MHD boundary-layer flow due to the impulsive motion of a stretching surface “Acta Mech. 146, 59-71, (2001)”,  A. Mehmood, A. Ali, H. S. Takhar and T. Shah, Acta Mechanica (Austria)  (199, 241-249, (2008), (ISI, IF: 1.268)                                                                                 

134. Unsteady boundary layer viscous flow due to an impulsively started porous plate, A. Mehmood, A. Ali and T. Shah, Canadian Journal of Physics (Canada), 86, 1079-1082, (2008). (ISI, IF: 0.928)                                                                                  

135. Centralizing and commuting generalized derivations on prime rings, A. Ali and T. Shah, Mathematicki Vesnik (Serbia), 60, 1-2, (2008).

136. Heat transfer analysis of unsteady boundary layer flow with homotopy analysis method, A. Mehmood, A. Ali  and T. Shah, COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (CNSNS) (Netherland), 13(5), 902-912, (2008). (ISI, IF: 2.569)

2007

137.Half-factoriality of D[S], Tariq Shah, Bulletin of the Korean Mathematical Society (S. Korea), 44, No. 4, pp. 771-775, (2007). (ISI, IF: 0.388)

2006

138. Convergence Model of Governance: A Case Study of the Local Government System of Pakistan,  S. A. H. Shah, M. Khalid and Tariq Shah, The Pakistan Development Review (Pakistan), 45:Part II, pp. 855-871, (Winter 2006).

139. A note on Ascend and Descend of factorization properties, Tariq Shah, Bulletin of the Korean Mathematical Society (S. Korea), No. 2,  419-424, (2006). (ISI, IF: 0.388)

2000

140. Some Factorization Properties of Composite Domains A+XB[X] and A+XB[[X]], T. Dumitrescu, N. Radu, S.O. Ibraheem Al-Salihi and Tariq Shah, Comm. Algebra (USA) 28(3), 1125-1139,  (2000). (ISI, IF: 0.388)

141. Domains Whose Overrings Satisfy ACCP,  T. Dumitrescu,  Tariq Shah and M. Zafrullah, Comm. Algebra (USA) 28(9), 4403-4410. (ISI, IF: 0.388)

142. Ascend and Descend of Factorization Properties, N. Radu and S. O. Ibraheem Al-Salihi and Tariq Shah, Rev. Roumaine  Math. Pures Appl. (Romania) 45, 4, 659-669, (2000).



Conferences attended and presented papers


  1. Antonio Aparecido de Andrade, Tariq Shah, XXXI SIMPO´SIO BRASILEIRO DE TELECOMUNICACO˜ES - SBrT2013, 1-4 DE SETEMBRO DE 2013, FORTALEZA, CE, Brazil.
  2. Antonio Aparecido de Andrade, Tariq Shah, 29th Coloquio Brasileiro de Matematica, IMPA, Rio de Janeiro, 29 de julho  a 05 de Augosto, 2013.
  3. Antonio Aparecido de Andrade, Tariq Shah, 28th Coloquio Brasileiro de Matematica, IMPA, Rio de Janeiro, 18 a 29 de julho de 2011.
  4.  Antonio Aparecido de Andrade, Tariq Shah and Atlas Khan, Decoding Procedure for BCH, Alternant and Goppa Codes defined over Semigroup Rings, CNMAC 2010, XXXIII Congresso Nacional de Matematica Aplicada e Computacional, A Sociedade Brasileira de Matematica Aplicada e Computacional (SBMAC), AGUAS de Lindoia-SP, September 20-23, 2010, pp 08-14.
  5. Tariq Shah, Atlas Khan and Antonio Aparecido de Andrade, Ascending chains of semigroup rings and encoding: Coding and Cryptography, Proceedings of ITS, International Telecommunication Symposium), 2010, September 06-09, Manaus, Amazonas, Brazil, pp 1-5.
  6. Antonio Aparecido de Andrade, Tariq Shah, Ascending chains of monoid rings and encoding, XXIX, Simposio Brasileiro de Telecommunicoes-SBrT’ 11, 02-05 de Outubro de 2011, CURITIBA, PR, Brazil.


  1. 9th International Pure Mathematics Conference, PMS, Islamabad, Pakistan, August 22-25, 2008.


 


 


 


 


 


Conferences papers

  • Lattices Codes from the ring F3 [X;1/3Z0], Fourteenth Workshop on Algebraic and Combinatorial Coding Theory, September 7-13, 2014, Svetlogorsk (Kalingningrad region), Russia, pp. 151-156. 

  • Novel data transmission approaches in cognitive radio, 13th International Pure Mathematics Conference, Islamabad, Pakistan, 1-3 Sep., 2012.



Seminars/Lectures delivered


  1. Polynomial and Formal Power Series Rings (August 05, 2013), Department of Mathematics, UNESP, Sao Jose do Rio Preto, SP, Brazil.
  2. Ring of Fractions and Localization (August 7, 2013), Department of Mathematics, UNESP, Sao Jose do Rio Preto, SP, Brazil.
  3. Extensions of Unitary Commutative Rings (August 9, 2013), Department of Mathematics, UNESP, Sao Jose do Rio Preto, SP, Brazil.
  4. Fractional ideals of unitary Commutative Rings (August 12, 2013), Department of Mathematics, UNESP, Sao Jose do Rio Preto, SP, Brazil.
  5. Factorizations in integral domains (August 14, 2013), Department of Mathematics, UNESP, Sao Jose do Rio Preto, SP, Brazil.
  6. Cyclic and BCH-codes over a Galois Field (August 21, 2013), Department of Mathematics, UNESP, Sao Jose do Rio Preto, SP, Brazil.
  7. Cyclic and BCH codes over a Galois ring (August 22, 2013), Department of Mathematics, UNESP, Sao Jose do Rio Preto, SP, Brazil.
  8. Cyclic and BCH codes through a monoid ring: A Survey, 28th August, 2013, Department of Mathematics, UNESP, Sao Jose do Rio Preto, SP, Brazil.
  9. BANDWIDTH SAVING IN COGNITIVE RADIO: A COMPOUND TRANSMISSION MODEL, 16th August, 2013, Institute of Mathematics, Campinus University, Campinus, SP, Brazil.
  10. REFURBISHING A DNA SEQUENCE IN AN ASCENDING CHAIN OF CYCLIC CODES, 30th August, 2013, Institute of Mathematics, Campinus University, Campinus, SP, Brazil.
  11. CONSTRUCTION AND DECODING OF 2m-1(n+ 1)n LENGTH CYCLIC CODES FOR A BCH CODE OF LENGTH n, Department of Mathematics, UNESP, Ilha Solteira, SP, Brazil, 22 to 23 August, 2013
  12. Handling error correction, code rate and reliability, Institute of Mathematics, Campinus University, Campinus, SP, Brazil, August 24, 2011.
  13. Some factorization properties on a pullback of type Containment, Seminarios do Programa de Pos-graduacao em Matematica, departamento de Matematica, UNESP, Unversidade Estadual Paulista “JULIO DE MESQUITA FILHO” Campus de SAO JOSE do RIO PRETO, SP, Brazil, August 17, 2011.
  14. Some factorization properties in integral domains, Seminarios do Programa de Pos-graduacao em Matematica, departamento de Matematica, UNESP, Unversidade Estadual Paulista “JULIO DE MESQUITA FILHO” Campus de SAO JOSE do RIO PRETO, SP, Brazil, July 12, 2011.
  15. On Algebraic Coding Theory, Seminar series LV, Department of department of Mathematics, QAU, Islamabad, May 23, 2011.    
  16. Factorization properties in integral domains, Seminarios do Programa de Pos-graduacao em Matematica, departamento de Matematica, UNESP, Unversidade Estadual Paulista “JULIO DE MESQUITA FILHO” Campus de SAO JOSE do RIO PRETO, SP, Brazil, September 15, 2010.
  17. Algebraic representation of Social Capital Matrix, NURTURING NINDS-PIDE, A weekly Seminar Series, Islamabad, Pakistan, January 20th, 2010.
  18. On Factorization in integral domains, Mathematics Seminar series of Department of Mathematics, QAU, Islamabad, Pakistan.    
  19. Generalization of integral dependence, Seminar series of Department of Mathematics, QAU, Islamabad, Pakistan.    
  20. On Polynomial Rings, Weakly Seminar Series, NUST, CAMP, April 25, 2007, Rawalpindi, Pakistan.


 


Keynote (Invited) Speaker


1. Talk on: ‘Galois rings and Galois fields: Coding Theory and Cryptography perspective’, Workshop on Modern Aspects of Algebra and Graph Theory” Department of Mathematics, COMSATS Institute of Information Technology, Lahore (March 27-28, 2015).


2. Talk on: ‘Algebraic Notions in Modern Cryptography and Coding Theory’, "Recent advances in Pure and Applied Mathematics" (RAPAM-2016) on 20 to 22 January 2016, QUAID-E-AWAM UNIVERSITY OF ENGINEERING, SCIENCE & TECHNOLOGY, NAWABSHAH, SINDH, PAKISTAN.


3. Talk on: ‘Algebra in Coding Theory and Modern Cryptography’, Worksop on " Algebra  and Applications" (Dec 9-10-2016), LUMS, Lahore, PAKISTAN.



 



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