Constructions of negabent functions over finite fields

DOI10.1007/s12095-015-0167-0zbMath1353.05029OpenAlexW2237004660MaRDI QIDQ505067

Yue Zhou, Longjiang Qu

Publication date: 19 January 2017

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12095-015-0167-0

zbMATH Keywords

finite fieldsrelative difference setsbent functionsprojective polynomialsnegabent functions

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Polynomials over finite fields (11T06) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Fuzzy sets and logic (in connection with information, communication, or circuits theory) (94D05)

Related Items

Bent and bent\(_4\) spectra of Boolean functions over finite fields ⋮ Permutation polynomials of the type \(x^rg(x^{s})\) over \({\mathbb {F}}_{q^{2n}}\) ⋮ Modified planar functions and their components ⋮ Several secondary methods for constructing bent-negabent functions ⋮ Several classes of permutation trinomials from Niho exponents over finite fields of characteristic 3 ⋮ Complete permutation polynomials from exceptional polynomials ⋮ Results on the nonexistence of bent-negabent rotation symmetric Boolean functions

Uses Software

• Magma

Cites Work

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