Two classes of \(p\)-ary bent functions and linear codes with three or four weights

DOI10.1007/S12095-016-0199-0zbMath1416.94068OpenAlexW2499096661MaRDI QIDQ502408

Shanding Xu, Guangkui Xu, Xiwang Cao

Publication date: 5 January 2017

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

Full work available at URL: https://doi.org/10.1007/s12095-016-0199-0

zbMATH Keywords

linear codesweight distributionWalsh transform\(p\)-ary bent function

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)

Related Items (9)

A survey on the applications of Niho exponents ⋮ A survey on \(p\)-ary and generalized bent functions ⋮ Binary linear codes from vectorial Boolean functions and their weight distribution ⋮ A construction of \(q\)-ary linear codes with two weights ⋮ Constructions of linear codes with two or three weights from vectorial dual-bent functions ⋮ Complete weight enumerators of a class of linear codes with two weights ⋮ Several classes of new weakly regular bent functions outside \(\mathcal{RF}\), their duals and some related (minimal) codes with few weights ⋮ New classes of bent functions via the switching method ⋮ A note on the minimal binary linear code

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