Known inifinte families of quadratic APN polynomials over GF(2^n)
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| Functions | Conditions | References | ||
|---|---|---|---|---|
| C1-C2 | [1] | |||
| C3 | has no solution s.t. | [2] | ||
| C4 | [3] | |||
| C5 | , | [4] | ||
| C6 | [4] | |||
| C7-C9 | [5] |
- ↑ 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
- ↑ 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.
- ↑ 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.
- ↑ 4.0 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.
- ↑ Bracken, C., Byrne, E., Markin, N., & Mcguire, G. (2011). A few more quadratic APN functions. Cryptography and Communications, 3(1), 43-53.