Twisted tensor product codes

DOI10.1007/s10623-007-9115-0zbMath1184.94270OpenAlexW2044671327MaRDI QIDQ1009006

Anton Betten

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/s10623-007-9115-0

zbMATH Keywords

automorphism groupconstacyclic linear codetwisted tenso product construction

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear algebraic groups over finite fields (20G40) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Linear codes and caps in Galois spaces (51E22) Combinatorial aspects of finite geometries (05B25) Classical groups (algebro-geometric aspects) (14L35) Combinatorial structures in finite projective spaces (51E20) Cyclic codes (94B15) Group actions on combinatorial structures (05E18)

Related Items (4)

Non-standard linear recurring sequence subgroups in finite fields and automorphisms of cyclic codes. I ⋮ Families of twisted tensor product codes ⋮ The existence of maximal \((q^2,2)\)-arcs in projective Hjelmslev planes over chain rings of length 2 and odd prime characteristic ⋮ Codes and caps from orthogonal Grassmannians

Uses Software

• Code Tables

Cites Work

• Self-dual codes over GF(4)
• The largest cap in \(AG\)(4, 4) and its uniqueness
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• Some ternary and quaternary codes and associated sphere packings
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• Fundamentals of Error-Correcting Codes
• On a sequence of cyclic codes with minimum distance six
• On the minimum distance of cyclic codes
• New binary codes
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