A New Infinite Family of Bivariate APN Multinomials

In this work, we present an infinite family of quadratic APN functions in bivariate form, which extends one of the two families of APN functions constructed by Li et al. in [IEEE TIT 68(7), 4761-4769 (2022)]. We show that for n = 10 from our construction, we can obtain APN functions CCZ-inequivalent to those belonging to known infinite families of APN functions.

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Publication Details

Journal
IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences
Published
2025-03-23
DOI
https://doi.org/10.1587/transfun.2025eal2001
Primary Topic
semigroups and automata theory
Type
article
Field-Weighted Citation Impact
0.00

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article

A New Infinite Family of Bivariate APN Multinomials

Jie Peng, Chenmiao Shi, Lijing Zheng
IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences
semigroups and automata theory
article

A New Infinite Family of Bivariate APN Multinomials

Jie Peng, Chenmiao Shi, Lijing Zheng
article en

Abstract

In this work, we present an infinite family of quadratic APN functions in bivariate form, which extends one of the two families of APN functions constructed by Li et al. in [IEEE TIT 68(7), 4761-4769 (2022)]. We show that for n = 10 from our construction, we can obtain APN functions CCZ-inequivalent to those belonging to known infinite families of APN functions.

IEICE Transactions on Fundamentals of Electronics Communications and Computer SciencesVol. E108.A(9)
Shanghai Normal University (CN), University of South China (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 94%
semigroups and automata theory
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