A construction of several classes of two-weight and three-weight linear codes

DOI10.1007/s00200-016-0297-4zbMath1384.94126OpenAlexW2486639169MaRDI QIDQ2397157

Qin Yue, Fang-Wei Fu, Chengju Li

Publication date: 29 May 2017

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-016-0297-4

zbMATH Keywords

Gauss sumslinear codesweight distributions

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Exponential sums (11T23)

Related Items (19)

Weight distributions for projective binary linear codes from Weil sums ⋮ 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 ⋮ Construction of minimal linear codes with few weights from weakly regular plateaued functions ⋮ A class of quadratic forms and the associated few-weight codes ⋮ Three new constructions of optimal linear codes with few weights ⋮ The punctured codes of two classes of cyclic 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 ⋮ Some two-weight and three-weight linear codes ⋮ Binary Linear Codes with Near-Extremal Maximum Distance ⋮ Linear codes with few weights from weakly regular plateaued functions ⋮ Projective binary linear codes from special Boolean functions ⋮ Several classes of linear codes with few weights from the closed butterfly structure ⋮ A construction of \(p\)-ary linear codes with two or three weights ⋮ Recent results and problems on constructions of linear codes from cryptographic functions ⋮ Binary linear codes with few weights from Boolean functions ⋮ Extremal solutions of an inequality concerning supports of permutation groups and punctured Hadamard codes

Uses Software

• Code Tables

Cites Work

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