Two-weight and three-weight linear codes based on Weil sums
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Publication:2422156
DOI10.1016/j.ffa.2019.02.001zbMath1448.94264arXiv1612.07060OpenAlexW2808625055WikidataQ128382183 ScholiaQ128382183MaRDI QIDQ2422156
Gaopeng Jian, Zhouchen Lin, Rong Quan Feng
Publication date: 18 June 2019
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.07060
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)
Related Items (20)
Weight distributions for projective binary linear codes from Weil sums ⋮ Weight distributions of two classes of linear codes with five or six weights ⋮ Two-weight and three-weight linear codes constructed from Weil sums ⋮ Three-weight linear codes from Weil sums ⋮ Linear codes with few weights from cyclotomic classes and weakly regular bent functions ⋮ Constructing few-weight linear codes and strongly regular graphs ⋮ Construction of minimal linear codes with few weights from weakly regular plateaued functions ⋮ Several classes of \(p\)-ary linear codes with few weights ⋮ Minimal linear codes from defining sets over \(\mathbb{F}_p + u \mathbb{F}_p\) ⋮ Two new classes of projective two-weight linear codes ⋮ Complete weight enumerators for several classes of two-weight and three-weight linear codes ⋮ Hamming weight enumerators of multi-twisted codes with at most two non-zero constituents ⋮ Several classes of linear codes with few weights from the closed butterfly structure ⋮ A class of two or three weights linear codes and their complete weight enumerators ⋮ Weight distributions and weight hierarchies of two classes of binary linear codes ⋮ Recent results and problems on constructions of linear codes from cryptographic functions ⋮ The \(t\)-wise intersection and trellis of relative four-weight codes ⋮ Hamming weight distributions of multi-twisted codes over finite fields ⋮ Binary linear codes with few weights from Boolean functions ⋮ Weight distributions and weight hierarchies of a family of \(p\)-ary linear codes
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