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A few more quadratic APN functions

Published:2010-11-11 Issue:1 Volume:3 Page:43-53
ISSN:1936-2447
Container-title:Cryptography and Communications
language:en
Short-container-title:Cryptogr. Commun.

Author:

Bracken Carl,Byrne Eimear,Markin Nadya,McGuire Gary

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computer Networks and Communications

Link

http://link.springer.com/content/pdf/10.1007/s12095-010-0038-7.pdf

Reference13 articles.

1. Bracken, C., Byrne, E., Markin, N., McGuire, G.: New families of quadratic almost perfect nonlinear trinomials and multinomials. Finite Fields Their Appl. 14(3), 703–714 (2008)

2. Bracken, C., Byrne, E., Markin, N., McGuire, G.: Determining the nonlinearity of a new family of APN functions. In: Boztas, S., Lu, H.-F. (eds.) Proc. AAECC-17 Conference. LNCS, vol. 4851, pp. 72–79 (2007)

3. Budaghyan, L., Carlet, C.: Classes of quadratic APN trinomials, hexanomials and related structures. IEEE Trans. Inf. Theory 54(5), 2354–2357 (2008)

4. Budaghyan, L., Carlet, C., Felke, P., Leander, G.: An infinite class of quadratic APN functions which are not equivalent to power mappings. In: Proceedings of ISIT 2006, Seattle, USA (2006)

5. Budaghyan, L., Carlet, C., Pott, A.: New constructions of almost bent and almost perfect nonlinear functions. IEEE Trans. Inf. Theory 52(3), 1141–1152 (2006)

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1. Two New Infinite Families of APN Functions in Trivariate Form;IEEE Transactions on Information Theory;2024-02

2. Note on Budaghyan and Carlet's almost perfect nonlinear functions;Finite Fields and Their Applications;2024-01

3. Extending two families of bivariate APN functions;Finite Fields and Their Applications;2023-06

4. Constructing New APN Functions Through Relative Trace Functions;IEEE Transactions on Information Theory;2022-11

5. On monomial generalized almost perfect nonlinear functions;Finite Fields and Their Applications;2022-09

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