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JOURNAL OF
ALGEBRAIC
COMBINATORICS

  Editors-in-chief: C. A. Athanasiadis, T. Lam, A. Munemasa, H. Van Maldeghem
ISSN 0925-9899 (print) • ISSN 1572-9192 (electronic)
 

Equivalences of quadratic APN functions

Satoshi Yoshiara
Department of Mathematics, Tokyo Woman's Christian University, Suginami-ku, Tokyo, 167-8585 Japan

DOI: 10.1007/s10801-011-0309-1

Abstract

The following conjecture due to Y. Edel is affirmatively solved: two quadratic APN (almost perfect nonlinear) functions are CCZ-equivalent if and only if they are extended affine equivalent.

Pages: 461–475

Keywords: APN functions; quadratic functions; CCZ-equivalence; extended affine equivalence

Full Text: PDF

References

1. Bracken, C., Byrne, E., McGuire, G., Nebe, G.: On equivalence of quadratic APN-functions. Des. Codes Cryptogr. 61, 261-272 (2010).
2. Yoshiara, S.: Dimensional dual hyperovals associated with quadratic APN functions. Innov. Incid.




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