Cryptology ePrint Archive: Report 2020/363

On equivalence between known polynomial APN functions and power APN functions

Qianhong Wan and Longjiang Qu and Chao Li

Abstract: Constructions and equivalence of APN functions play a significant role in the research of cryptographic functions. On finite fields of characteristic 2, 6 families of power APN functions and 14 families of polynomial APN functions have been constructed in the literature. However, the study on the equivalence among the aforementioned APN functions is rather limited to the equivalence in the power APN functions. Meanwhile, the theoretical analysis on the equivalence between the polynomial APN functions and the power APN functions, as well as the equivalence in the polynomial APN functions themselves, is far less studied. In this paper, we give the theoretical analysis on the inequivalence in 8 known families of polynomial APN functions and power APN functions.

Category / Keywords: foundations / CCZ-equivalence

Date: received 28 Mar 2020

Contact author: 77927023 at qq com

Available format(s): PDF | BibTeX Citation

Version: 20200328:152352 (All versions of this report)

Short URL: ia.cr/2020/363


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