TY - JOUR
T1 - Quadratic bent functions and their duals
AU - Abdukhalikov, Kanat
AU - Feng, Rongquan
AU - Ho, Duy
N1 - Funding Information:
This research was supported by UAEU grants G00003490 and G00003491.
Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2022
Y1 - 2022
N2 - We obtain geometric characterizations of the dual functions for quadratic bent and vectorial bent functions in terms of quadrics. Additionally, using the zeros of the polynomial Xq+1+ X+ a which have been studied recently in the literature, we provide some examples of binomial quadratic bent functions on Fq4 and Fq6, where q is a power of 2.
AB - We obtain geometric characterizations of the dual functions for quadratic bent and vectorial bent functions in terms of quadrics. Additionally, using the zeros of the polynomial Xq+1+ X+ a which have been studied recently in the literature, we provide some examples of binomial quadratic bent functions on Fq4 and Fq6, where q is a power of 2.
KW - Bent functions
KW - Duals of bent functions
KW - Quadratic bent functions
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U2 - 10.1007/s00200-022-00564-5
DO - 10.1007/s00200-022-00564-5
M3 - Article
AN - SCOPUS:85131835180
SN - 0938-1279
JO - Applicable Algebra in Engineering, Communications and Computing
JF - Applicable Algebra in Engineering, Communications and Computing
ER -