Binary linear codes with two or three weights from Niho exponents
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Publication:1696138
DOI10.1007/s12095-017-0220-2zbMath1412.94234OpenAlexW2595518115MaRDI QIDQ1696138
Shanding Xu, Xiwang Cao, Gaojun Luo, Jiafu Mi
Publication date: 14 February 2018
Published in: Cryptography and Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12095-017-0220-2
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)
Related Items (19)
A survey on the applications of Niho exponents ⋮ Minimal linear codes constructed from functions ⋮ The parameters of minimal linear codes ⋮ Two families of few-weight codes over a finite chain ring ⋮ Three new constructions of optimal linear codes with few weights ⋮ Two-weight and three-weight linear codes based on Weil sums ⋮ Minimal linear codes from Maiorana-McFarland functions ⋮ Connection of \(p\)-ary \(t\)-weight linear codes to Ramanujan Cayley graphs with \(t+1\) eigenvalues ⋮ Quantum codes from trace codes ⋮ Further projective binary linear codes derived from two-to-one functions and their duals ⋮ Weight distributions of generalized quasi-cyclic codes over \(\mathbb{F}_q + u \mathbb{F}_q\) ⋮ Two new classes of projective two-weight linear codes ⋮ Linear codes with few weights from weakly regular plateaued functions ⋮ Complete weight enumerators for several classes of two-weight and three-weight linear codes ⋮ A class of two or three weights linear codes and their complete weight enumerators ⋮ A class of linear codes and their complete weight enumerators ⋮ Two classes of near-optimal codebooks with respect to the Welch bound ⋮ Recent results and problems on constructions of linear codes from cryptographic functions ⋮ Binary linear codes with few weights from Boolean functions
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