A Class of New Quadratic Vectorial Bent Functions

A class of quadratic vectorial bent functions having the form F(x) = Trn m(ax2s1+1) + Trn1 (bx2s2+1) is investigated, where n; m; s1; s2 are positive integers and the coefficients a, b belong to the finite field F2n. Through some discussions on the permutation property of certain linearized polynomi...

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Bibliographic Details
Published inChinese Journal of Electronics Vol. 29; no. 5; pp. 873 - 879
Main Authors Pang, Tingting, Zeng, Xiangyong, Li, Nian, Xu, Yunge
Format Journal Article
LanguageEnglish
Published Published by the IET on behalf of the CIE 01.09.2020
Subjects
Extended affine equivalence
Finite field
Permutation polynomial
Vectorial bent function
Finite field
Vectorial bent function
Permutation polynomial
Extended affine equivalence
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Summary:A class of quadratic vectorial bent functions having the form F(x) = Trn m(ax2s1+1) + Trn1 (bx2s2+1) is investigated, where n; m; s1; s2 are positive integers and the coefficients a, b belong to the finite field F2n. Through some discussions on the permutation property of certain linearized polynomials over F2n, several classes of quadratic vectorial bent functions are presented for special cases of n, and it is also verified by computer that some vectorial bent functions proposed are extended affine inequivalent to all known quadratic vectorial bent functions.
ISSN:1022-4653
2075-5597
DOI:10.1049/cje.2020.08.002