Qiang (Steven) Wang's papers

  1. A survey of compositional inverses of permutation polynomials over finite fields. Designs, Codes and Cryptography, online first.

  2. Towards a classification of permutation binomials of the form $x^i + ax$ over $\mathbb{F}_{2^n}$ (with Y. Li and X. Feng). Designs, Codes and Cryptography, online first.

  3. Additive codes with few weights (With D. Panario, M. Sahin). Cryptography and Communications 16 (2024), no. 5, 1077-1102.

  4. On stable polynomials of degrees 2, 3, 4. (With T. Lin). Finite Fields Appl. Volume 99, 2024, 102474.

  5. Constructing permuation polynomials from permutation polynomials of subfields (With L. Reis). Finite Fields Appl. Volume 96, 2024, 102415, 19pp.

  6. Some classes of permuation binomials and trinomials of index $q-1$ over $\mathbb{F}_{q^n}$ (with R. Gupta, L. Quoos), Cryptography and Communications 16 (2024), no. 2, 387-402.

  7. Generalized Lucas polynomials over finite fields (With L. Li, X. Zeng). Finite Fields Appl. Volume 89, 2023, 102207, 27pp.

  8. Compositions and parities of complete mappings and of orthomorphisms, (with A. Bors). Journal of Combinatorial Theory, Series A Volume 196, May 2023, 105723.

  9. Two-weight or three-weight binary linear codes from cyclotomic mappings (with J. Fang, Y. Sun, Y. Wang). Finite Fields Appl. 85 (2023), Paper No. 102114, 19 pp.

  10. Coset-wise affine functions and cycle types of complete mappings (with A. Bors). Finite Fields Appl. 83 (2022), Paper No. 102088, 32 pp.

  11. Further improvement on index bounds (with Y Wu and Y. Lee). Des. Codes Cryptogr. 90 (2022), no. 12, 2813–2821.

  12. On the enumeration of polynomials with prescribed factorization pattern (with S. Kuttner). Finite Fields Appl. 81 (2022), Paper No. 102023.

  13. Counting irreducible polynomials with prescribed coefficients over a finite field (with Z. Gao, S. Kuttner). Finite Fields Appl. 80 (2022), Paper No. 102023.

  14. Generalized cyclotomic mappings: switching between polynomial, cyclotomic, and wreath product form (with A. Bors). Commun. Math. Res. 38 (2022), no. 2, 246-318.

  15. The additive index of polynomials over finite fields (with L. Reis). Finite Fields Appl. 79 (2022), Paper No. 102002, 16 pp.

  16. Cycle types of complete mappings of finite fields (with A. Bors). Journal of Algebra 591 (2022), 577-610.

  17. A framework of constructing placement delivery arrays for centralized coded caching (with M. Chen, J. Jiang, X. Zhong). IEEE Trans. Inform. Theory 67 (2021), no. 11, 7121-7131.

  18. Finding compositional inverses of permutations from the AGW criterion (with T. Niu, K. Li, L. Qu). IEEE Trans. Inform. Theory 67 (2021), no. 8, 4975-4985.

  19. A family of Hermitian dual-containing constacyclic codes and related quantum codes (with X. Zhao, X. Li, T. Yan). Quantum Inf. Process. 20 (2021), no. 5, Paper No. 186, 22 pp.

  20. Exponential Sums with Sparse Polynomials over Finite Fields (with I. E. Shparlinski). SIAM Journal on Discrete Mathematics 35 (2021), no. 2, 976-987.

  21. An efficiently generated family of binary de Bruijn sequences (with Y. Zhu, Z. Chang, M. F. Ezerman). Discrete Mathematics 344 (2021), no. 6, 112368, 11 pp.

  22. Several classes of complete permutation polynomials with Niho exponents (with L. Li, Y. Xu, X. Zeng). Finite Fields and Their Applications 72 (2021), 101831, 31 pp.

  23. On the stability of periodic binary sequences with zone restriction (with M. Su), Applicable Algebra in Engineering, Communication and Computing (2020), https://doi.org/10.1007/s00200-020-00467-3

  24. On enumeration of irreducible polynomials and related objects over a finite field with respect to their trace and the norm. Finite Fields and Their Applications 69 (2021), 101770, 25pp.

  25. The dynamics of permutations on irreducible polynomials (with L. Reis), Finite Fields and Their Applications 64 (2020), 101664.

  26. Cycle strutures of a class of Cascaded FSRs (with Z. Chang and G. Gong), IEEE Transactions on Information Theory 66 (2020), no. 6, 3766-3774.

  27. Construction of irreducible polynomials through rational transformations (with D. Panario and L. Reis), Journal of Pure and Applied Algebra 224 (2020), no. 5, 106241.

  28. On Inverses of Permutation Polynomials of Small Degree over Finite Fields (with Y. Zheng and W. Wei), IEEE Transactions on Information Theory, 66 (2020), no. 2, 914–922.

  29. New constructions of involutions over finite fields (with T. Niu, K. Li, L. Qu), Cryptography and Communications 12 (2020), no. 2, 165-185.

  30. Fixed points of rational functions satisfying the Carlitz property (with K. Chubb, D. Panario). Appl. Algebra Engrg. Comm. Comput. 30 (2019), no. 5, 417-439.

  31. On the Derivative Imbalance and Ambiguity of Functions (with C. Carlet, S. Fu, X. Feng), IEEE Transactions on Information Theory 65 (2019), no. 9, 5833- 5845.

  32. Polynomials over finite fields: an index approach, in the Proceedings of Pseudo-Randomness and Finite Fields, Multivariate Algorithms and their Foundations in Number Theory, October 15-19, Linz, 2018, Combinatorics and Finite Fields. Difference Sets, Polynomials, Pseudorandomness and Applications, Degruyter, 2019, page 319-348. Preprint

  33. A Generalized Grouping Scheme in Coded Caching (with M. Cheng, J. Jiang, Y. Yao), IEEE Transactions on Communications , 67 (2019), 3422 - 3430.

  34. Further results on complete permutation monomials over finite fields (with X. Feng, D. Lin, L. Wang), Finite Fields and Their Applications , 57 (2019), 47-59.

  35. Improved Bounds on $2$-Frameproof Codes with Length $4$ (with M. Chen, J. Jiang), Designs Codes and Cryptography 87 (2019), no. 1, 97-106.

  36. A Recursive Construction of Permutation Polynomials over $\mathbb{F}_{q^2}$ with Odd Characteristic Related to R\'{e}dei Functions (with S. Fu, X. Feng, D. Lin), Designs Codes and Cryptography, 87 (2019), no. 7, 1481-1498.

  37. A lower bound on the 2-adic complexity of modified Jacobi sequence (with Y. Sun, T. Yan), Cryptography and Communications, 11 (2019), no. 2, 337-349.

  38. Counting compositions over finite abelian groups (with Z. Gao and A. McFie), Electronic Journal of Combinatoric , (2018), no. 2, Paper 2.19, 23 pp.

  39. Compositional Inverses of Permutation Polynomials of the Form $x^rh\left(x^s\right)$ over Finite Fields (with K. Li and L. Qu), Cryptography and Communications , to appear.

  40. New Constructions of Permutation Polynomials of the Form $x^rh\left(x^{q-1}\right)$ over $\mathbb{F}_{q^2}$ (with K. Li and L. Qu), Designs Codes and Cryptography, to appear.

  41. Nonlinear vectorial primitive recursive sequences (with S. U. Hasan and D. Panario), Cryptography and Communications. 10.1007/s12095-017-0265-2.

  42. A new proof of the Hansen-Mullen irreducibility conjecture (with Tuxanidy), Canadian Journal of Mathematics , http://dx.doi.org/10.4153/CJM-2017-022-1, 18 pages,

  43. Non-homogeneous conditional recurrences (with D. Panario and M. Sahin), to appear in Linear and Multilinear Algebra.

  44. Characteristic digit-sum sequences (with Tuxanidy), Cryptography and Communications 10 (2018), no. 4, 705-717.

  45. Ambiguity, deficiency and differential spectrum of normalized permutation polynomials over finite fields (with D. Panario, D. Santana), Finite Fields and their Applications 47 (2017), 330-350.

  46. The exact autocorrelation distribution and $2$-adic complexity of a class of binary sequences with almost optimal autocorrelation (with Y. Sun, T. Yan), Cryptography and Communications 10 (2018), no. 3, 467-477.

  47. A note on inverses of cyclotomic mapping permutation polynomials over finite fields, Finite Fields Appl. 45 (2017), 422-427.

  48. The T4 and G4 constructions of Costas arrays (with T. Trudgian). J. Combin. Math. Combin. Comput. 100 (2017), 217–221.

  49. On coefficients of powers of polynomials and their compositions over finite fields (with G. L. Mullen, A. Muratovic-Ribic). Contemporary developments in finite fields and applications, 270–281, World Sci. Publ., Hackensack, NJ, 2016.

  50. Index bounds for character sums of polynomials over finite fields (with D. Wan), Designs Codes and Cryptography 81 (2016), no. 3, 459–468.

  51. On the number of $N$-free elements with prescribed trace (with A. Tuxanidy), Journal of Number Theory 160 (2016), 536–565.

  52. Formulas for p-th root computations in finite fields of characteristic p (with L. Perin, R. Custodio and D. Panario), Electronics Letters52, 117-119, 2016. .

  53. An asymptotic formula for the number of irreducible transformation shift registers (with S. D. Cohen, S. U. Hasan, D. Panario). Linear Algebra Appl. 484 (2015), 46-62

  54. Linear complexity profile and correlation measure of interleaved sequences (with J. He, D. Panario and A. Winterhof), Cryptography and Communications 7 (2015), no. 4, 497–508 .

  55. A probabilistic approach to value sets of polynomials over finite fields (with Z. Gao), Finite Fields Appl. 33 (2015), 160-174

  56. Index bounds for value sets of polynomials over finite fields (with G. L. Mullen, D. Wan), Applications of Algebra and Number Theory, Cambridge University Press, 2014, pages 280-296. or Preprint

  57. The multisubset problem for finite abelian groups (with A. Muratovic-Ribic), Ars Mathematica Contemporanea 8 (2015), no. 2, 417–423. , arXiv 1305.3259 or Preprint

  58. On the characterization of a semi-multiplicative analogue of planar functions over finite fields (with A. Muratovic-Ribic, A. Pott, D. Thomson), Topics in finite fields, 317–325, Contemp. Math., 632, Amer. Math. Soc., Providence, RI, 2015.

  59. General conditional recurrences (with D. Panario, M. Sahin, Murat and W. Webb). Appl. Math. Comput. 243 (2014), 220–231.

  60. Roots and coefficients of polynomials over finite fields (with S. Kopparty) Finite Fields Appl. 29 (2014), 198–201.

  61. On the inverses of some classes of permutations of finite field (with A. Tuxanidy), Finite Fields Appl. 28 (2014), 244-281.

  62. Cyclotomy and permutation polynomials of large indices, Finite Fields Appl., Volume 22, July 2013, Pages 57–69.

  63. Ambiguity and deficiency of permutations over finite fields with linearized difference map (with D. Panario, A. Sakzad, B. Stevens, D. Thomson), IEEE Transactions on Information Theory 59 (2013), 5616-5626.

  64. Permutation polynomials of one variable (with G. L. Mullen), Section 8.1, In Handbook of Finite Fields, Chapman and Hall/CRC, 2013, page 215-230. Preprint

  65. Dickson polynomials (with J. L. Yucas), Section 9.6, In Handbook of Finite Fields, Chapman and Hall/CRC, 2013, page 282-290. Preprint

  66. A family of Fibonacci-like conditional sequences (with M. Sahin and D. Panario), INTEGERS Electronic Journal of Combinatorial Number Theory, 13, A78, 2013.

  67. Symmetries of codeword stabilized quantum codes (with Salman Beigi, Jianxin Chen, Markus Grassl, Zhengfeng Ji and Bei Zeng), 8th Conference on Theory of Quantum Computation, Communication and Cryptography (TQC 2013), Guelph, Canada, May 2013, pp. 192--206..arXiv: 1303.7020.

  68. Ambiguity and deficiency of permutations over finite fields with linearized difference map (with D. Panario, A. Sakzad, B. Stevens, D. Thomson), IEEE Transactions on Information Theory 59, 5616-5626, 2013.

  69. Partitions and Compositions over Finite Fields (with A. Muratovic-Ribic), The Electronic Journal of Combinatorics, Volume 20, Issue 1 (2013) Online publication

  70. Generalized Alcuin's Sequence (with D. Panario, M. Sahin), The Electronic Journal of Combinatorics, Volume 19, Issue 4 , P55 (2012) Online publication

  71. Value sets of polynomial maps over finite fields (with G. L. Mullen and D. Wan), Quarterly J. Mathematics, Oxford, 64 (2013), no. 4, 1191-1196. Online publication

  72. Composed products and factors of cyclotomic polynomials over finite fields (with A. Tuxanidy), Designs, Codes and Cryptography, Online First, 20 March 2012 . (A. Tuxanidy was my Honours project student). Preprint

  73. Dickson polynomials over finite fields (with J. Yucas), Finite Fields and their Applications 18 (2012), no. 4, 814–831. Preprint

  74. On a conjecture of polynomials over finite fields of precribed range (with A. Muratovic-Ribic), Finite Fields Appl. 18 (2012), no. 4, 728–737. Preprint

  75. Word-Oriented Transformation Shift Registers and Their Linear Complexity (with S. U. Hasan, D. Panario), Proceeding of SETA 2012: SEquences and Their Applications, University of Waterloo, June 4-8, 2012, Lecture Notes in Computer Science 7280, Springer, 190-202, 2012.

  76. Ambiguity and Deficiency of permutations (with D. Panario, A. Sakzad, B. Stevens), ITW 2011 (IEEE Information Theory Workshop), IEEE Xplore, 165-169, 2011.

  77. Divisibility of polynomials over finite fields and combinatorial applications (with D. Panario, O. Sosnovski, B. Stevens), Designs, Codes and Cryptography, 63 (2012), Number 3, 425-445. (O. Sosnovski was my Honours project student) Preprint

  78. On explicit factors of cyclotomic polynomials over finite fields (with L. Wang), Designs, Codes and Cryptography, 63 (2012), Number 1, Pages 87-104. Preprint

  79. Two new measures for permutations: ambiguity and deficiency (with D. Panario, A. Sakzad, B. Stevens), IEEE Transactions on Information Theory 57 (2011), no. 11, 1-10. Preprint

  80. On coefficients of polynomials over finite fields (with A. Muratović-Ribić ), Finite Fields Appl. 17 (2011), no. 6, 575-599. Preprint

  81. On constructing permutations of finite fields (with A. Akbary, D. Ghioca), Finite Fields Appl., 17 (2011), 51-67. Preprint

  82. On generalized Lucas sequences, Combinatorics and Graphs: the twentieth anniversary conference of IPM, May 15-21, 2009, Contemporary Methematics 531 (2010), 127-141. Preprint

  83. Karatsuba's algorithm for polynomial multiplication in Chebyshev form (with J. Bandeira Lima and D. Panario), IEEE Transactions on Computers. 59 (2010), 835-841. Preprint

  84. The number of irreducible polynomials of degree n over F_q with given trace and constant terms (with B. Omidi Koma and D. Panario), Discrete Mathematics, 310 (2010), 1282-1292. Preprint

  85. Ambiguity and deficiency in Costas arrays and APN permutations (with D. Panario and B. Stevens), LATIN 2010 (Latin American Theoretical INformatics), Lecture Notes in Computer Science 6034, Springer, 397-406, 2010.

  86. A family of binary sequences from interleaved construction and their cryptographic properties (with J. J. He, D. Panario), Proceedings of Fq9 Contemporary Mathamtics, 518 (2010), 209-224. Preprint

  87. Results on permutations with distinct difference property (with J. Bell), Contributions to Discrete Mathematics Vol 4, No 1 (2009). (J. Bell was my NSERC summer research student).

  88. On the inverse permutation polynomials, Finite Fields Appl. 15 (2009), no. 2, 207--213. Preprint

  89. On Permutation polynomials with prescribed shape (with A. Akbary, D. Ghioca), Finite Fields Appl. 15 (2009), no. 2, 195--206. Preprint

  90. An answer to Hirasaka and Muzychuk: every $p$-Schur ring over $C_p^3$ is Schurian (with P. Spiga), Discrete Mathematics 308 (2008), no. 9, 1760-1763. Preprint

  91. Cyclotomic mapping permutation polynomials over finite fields , Sequences, subsequences, and Consequences (International Workshop, SSC 2007, Los Angeles, CA, USA, May 31 - June 2, 2007), LNCS 4893, 119-128. (note: (r, (q-1)/d) =1 was missing in the sum of Corollary 1 in the original publication) Preprint

  92. On polynomials of the form $x^rf(x^{(q-1)/l})$ (with A. Akbary), International Journal of Mathematics and Mathematical Sciences, Volume 2007 (2007), Article ID 23408, 7 pages. Open Access

  93. Division of trinomials by pentanomials and orthogonal arrays (with M. Dewar, L. Moura, D. Panario, B. Stevens), Designs, Codes and Cryptography, 45 (2007), no. 1, 1-17. .

  94. On some classes of permutation polynomials" (with A. Akbary, S. Alaric), International Journal of Number Theory, Vol 4, No. 1 (2008), 121 - 133. Preprint

  95. Null Extensions and Generalized Inflations of Brandt Semigroups" (with S. L. Wismath), Semigroup Forum, 74 (2007), no. 2, 274--292.

  96. Generalized Inflations of Completely Simple Semigroups" (with S. L. Wismath), Algebra Colloquium, 14 (2007), no. 1, 103-116.

  97. The Inflation Class Operator" (with A. Christie, S. L. Wismath), Algebra Universalis 56 (2007), 107 - 118.

  98. A generalized Lucas sequence and permutation binomials" (with A. Akbary), Proceedings of the American Mathematical Society, 134 (2006), no 1, 15-22. Preprint

  99. The number of permutation binomials over $\mathbb{F}_{4p+1}$ where $p$ and $4p+1$ are primes" (with A. Masuda, D. Panario), Electron. J. Combin. 13 (2006), R65.

  100. A note on hereditary semigroup algebras" (with X. Q. Chen), Pragmatic algebra, 181--186, SAS Int. Publ., Delhi, 2006

  101. On some permutation polynomials over finite fields" (with A. Akbary), International Journal of Mathematics and Mathematical Sciences (IJMMS), 16 (2005), 2631-2640. Preprint

  102. Minimal Characteristic Algebras for k-Normality" (with A. Christie and S. L. Wismath), Scientiae Mathematicae Japonicae (SCMJ), 61. No.3 (2005), 547-565.

  103. Generalized Inflations and Null Extensions" (with S. L. Wismath), Discussiones Mathematicae General Algebra and Applications 24 (2004), no. 2, 225-249.

  104. Height one prime ideals in semigroup algebras satisfying a polynomial identity" (with E. Jespers), Journal of Algebra 248 (2002), no. 1, 118-131.

  105. Noetherian unique factorization semigroup algebras" (with E. Jespers), Communications in Algebra 29 (2001), no. 12, 5701-5715.

  106. Hereditary semigroup algebras" (with E. Jespers), Journal of Algebra 233 (2000), no. 1, 409--424. (Correction by the editor) and Journal of Algebra 229 (2000), 532--546.

     

    ·  Ph. D. Thesis. Hereditary Semigroup Rings and Maximal Orders.