Known inifinte families of quadratic APN polynomials over GF(2^n)

From Boolean
Revision as of 14:16, 14 December 2018 by Fady (talk | contribs)
Jump to navigation Jump to search
Functions Conditions References
C1-C2 [1]
C3 has no solution s.t. [2]
C4 [3]
C5 , [4]
C6 [4]
C7-C9 [5]
  1. L. Budaghyan, C. Carlet, G. Leander, Two Classes of Quadratic APN Binomials Inequivalent to Power Functions, IEEE Trans. Inform. Theory 54(9), 2008, pp. 4218-4229
  2. L. Budaghyan and C. Carlet. Classes of Quadratic APN Trinomials and Hexanomials and Related Structures. {\em IEEE Trans. Inform. Theory}, vol. 54, no. 5, pp. 2354-2357, 2008.
  3. L. Budaghyan, C. Carlet and G.Leander, Constructinig new APN functions from known ones, Finite Fields and their applications, vol.15, issue 2, Apr. 2009, pp. 150-159.
  4. 4.0 4.1 L. Budaghyan, C. Carlet and G.Leander, On a Construction of quadratic APN functions, Proceedings of IEEE information Theory workshop ITW'09, Oct. 2009, 374-378.
  5. Bracken, C., Byrne, E., Markin, N., & Mcguire, G. (2011). A few more quadratic APN functions. Cryptography and Communications, 3(1), 43-53.