Four Classes of Bivariate Permutation Polynomials over Finite Fields of Even Characteristic

Regular Section

Changhui CHEN, Shanghai Engineering Research Center of Blockchain
Yiwu Research Institute of Fudan University">Haibin KAN, Jie PENG, Li WANG

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Keywords: finite field, vectorial Boolean function, binomial, bivariate, permutation polynomial

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2024 Volume E107.A Issue 7 Pages 1045-1048

DOI https://doi.org/10.1587/transfun.2023EAL2084

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Abstract

Permutation polynomials have important applications in cryptography, coding theory and combinatorial designs. In this letter, we construct four classes of permutation polynomials over 𝔽_2ⁿ × 𝔽_2ⁿ, where 𝔽_2ⁿ is the finite field with 2ⁿ elements.

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