Skew codes of prescribed distance or rank

DOI10.1007/s10623-008-9230-6zbMath1237.94144OpenAlexW1982340557MaRDI QIDQ1009116

Lionel Chaussade, Pierre Loidreau, Felix Ulmer

Publication date: 31 March 2009

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-008-9230-6

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Other types of codes (94B60) Difference algebra (12H10)

Related Items (14)

A Chinese remainder theorem approach to skew generalized quasi-cyclic codes over finite fields ⋮ Sum-rank product codes and bounds on the minimum distance ⋮ Double skew cyclic codes over \(\mathbb{F}_q\) ⋮ Rank error-correcting pairs ⋮ A remark on skew factorization and new 𝔽4-linear codes ⋮ Hartmann-Tzeng bound and skew cyclic codes of designed Hamming distance ⋮ Linear codes using skew polynomials with automorphisms and derivations ⋮ Skew quasi-cyclic codes over Galois rings ⋮ A circulant approach to skew-constacyclic codes ⋮ Roos bound for skew cyclic codes in Hamming and rank metric ⋮ On the roots and minimum rank distance of skew cyclic codes ⋮ A Note on the Dual Codes of Module Skew Codes ⋮ Rank-Metric Codes and Their Applications ⋮ Codes in the Sum-Rank Metric: Fundamentals and Applications

Uses Software

• Magma

Cites Work

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• Coding with skew polynomial rings
• Skew-cyclic codes
• Theory of codes with maximum rank distance
• The Magma algebra system. I: The user language
• Theory of non-commutative polynomials
• Searching for linear codes with large minimum distance
• Finite-Dimensional Division Algebras over Fields

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