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Equivalences among plateaued APN functions

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Abstract

Some general results are obtained about pairs of CCZ-equivalent plateaued APN functions, exploiting character theory of finite groups. It is proven that if a plateaued power APN function f over \({\mathbb {F}}_{2^{2m}}\) is CCZ-equivalent to a plateaued function g, then f and g are EA-equivalent.

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Acknowledgments

The author expresses his gratitude to Dr. Carlet for sending [3], including its earlier versions. This work is supported by JSPS KAKENHI Grant Number 26400025.

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Authors and Affiliations

  1. Department of Mathematics, Tokyo Woman’s Christian University, Suginami-ku, Tokyo, 167-8585, Japan

    Satoshi Yoshiara

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  1. Satoshi Yoshiara
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Correspondence to Satoshi Yoshiara.

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Communicated by J. D. Key.

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Yoshiara, S. Equivalences among plateaued APN functions. Des. Codes Cryptogr. 85, 205–217 (2017). https://doi.org/10.1007/s10623-016-0298-0

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  • DOI: https://doi.org/10.1007/s10623-016-0298-0

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