Quotients of orders in algebras obtained from skew polynomials with applications to coding theory

DOI10.1080/00927872.2018.1461882zbMath1411.17009arXiv1609.04201OpenAlexW2795316374MaRDI QIDQ4689832

Susanne Pumplün

Publication date: 22 October 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04201

zbMATH Keywords

linear codenonassociative algebracoset codeskew polynomial ring space-time block codewiretap code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Arithmetic codes (94B40) Nonassociative division algebras (17A35)

Related Items (2)

Division algebras and MRD codes from skew polynomials ⋮ HOW A NONASSOCIATIVE ALGEBRA REFLECTS THE PROPERTIES OF A SKEW POLYNOMIAL

Cites Work

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• Nonassociative cyclic algebras
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• Linear codes using skew polynomials with automorphisms and derivations
• Lattice Encoding of Cyclic Codes from Skew-Polynomial Rings
• Fast-Decodable MIDO Codes With Large Coding Gain
• Iterated Space-Time Code Constructions From Cyclic Algebras
• Autotopism Groups of Some Finite Non-Associative Algebras
• Finite-Dimensional Division Algebras over Fields

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