Constacyclic codes over local rings of order 16

DOI10.1090/CONM/727/14627zbMath1455.94225OpenAlexW2939244975MaRDI QIDQ5239118

Steven T. Dougherty, Esengül Saltürk

Publication date: 22 October 2019

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/727/14627

zbMATH Keywords

local ringconstacyclic code

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cyclic codes (94B15)

Related Items (1)

On the $$(1+u^2+u^3)$$ -Constacyclic and Cyclic Codes Over the Finite Ring $$ {F}_2+u{F}_2+u^2{F}_2+u^3{F}_2+v{F}_2 $$

Uses Software

• Code Tables

Cites Work

• Unnamed Item
• Codes over local rings of order 16 and binary codes
• \((1 + v)\)-constacyclic codes over \(\mathbb F_2 + u\mathbb F_2 + v\mathbb F_2 + uv\mathbb F_2\)
• Cyclic codes over local Frobenius rings of order 16
• Codes over a family of local Frobenius rings, Gray maps and self-dual codes
• On codes over Frobenius rings: generating characters, MacWilliams identities and generator matrices
• Searching for linear codes with large minimum distance
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Negacyclic and cyclic codes over Z/sub 4/
• Algebraic Coding Theory Over Finite Commutative Rings

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