Some two-weight and three-weight linear codes
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Publication:1726025
DOI10.3934/amc.2019013zbMath1415.94482OpenAlexW2905157360MaRDI QIDQ1726025
Chengju Li, Shudi Yang, Sunghan Bae
Publication date: 15 February 2019
Published in: Advances in Mathematics of Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/amc.2019013
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Exponential sums (11T23)
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Three new constructions of optimal linear codes with few weights ⋮ Two new classes of projective two-weight linear codes ⋮ Binary Linear Codes with Near-Extremal Maximum Distance ⋮ Complete weight enumerators for several classes of two-weight and three-weight linear codes ⋮ A construction of \(p\)-ary linear codes with two or three weights ⋮ A class of linear codes and their complete weight enumerators ⋮ Complete weight enumerators of a class of linear codes over finite fields ⋮ Weight distributions and weight hierarchies of two classes of binary linear codes ⋮ Recent results and problems on constructions of linear codes from cryptographic functions ⋮ Weight distributions and weight hierarchies of a family of \(p\)-ary linear codes ⋮ Extremal solutions of an inequality concerning supports of permutation groups and punctured Hadamard codes
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