Linear codes with one-dimensional hull associated with Gaussian sums

DOI10.1007/s12095-020-00462-yzbMath1469.94140OpenAlexW3095860163MaRDI QIDQ2040345

Sihem Mesnager, Liqin Qian, Xiwang Cao

Publication date: 13 July 2021

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

Full work available at URL: https://doi.org/10.1007/s12095-020-00462-y

zbMATH Keywords

linear codeGaussian sumnumber fieldhull

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Other character sums and Gauss sums (11T24)

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MDS codes with euclidean and Hermitian hulls of flexible dimensions and their applications to EAQECCs ⋮ On Toeplitz codes of index \(t\) and isometry codes ⋮ An improved method for constructing formally self-dual codes with small hulls ⋮ Optimal quaternary Hermitian LCD codes and their related codes ⋮ MDS linear codes with one-dimensional hull ⋮ A new construction of linear codes with one-dimensional hull ⋮ Linear codes with arbitrary dimensional hull and their applications to EAQECCs ⋮ A new method for constructing linear codes with small hulls

Uses Software

• Magma
• Code Tables

Cites Work

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