Codes over local rings of order 16 and binary codes
From MaRDI portal
Publication:326312
DOI10.3934/AMC.2016012zbMath1348.94079OpenAlexW2346160770MaRDI QIDQ326312
Steve Szabo, Steven T. Dougherty, Esengül Saltürk
Publication date: 12 October 2016
Published in: Advances in Mathematics of Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/amc.2016012
Related Items (7)
Constructions of self-dual codes and formally self-dual codes over rings ⋮ 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 ⋮ Generating characters of non-commutative Frobenius rings ⋮ Constacyclic codes over local rings of order 16 ⋮ Construction and enumeration for self-dual cyclic codes over \(\mathbb Z_4\) of oddly even length
Cites Work
- Unnamed Item
- Unnamed Item
- Codes over \(R_k\), Gray maps and their binary images
- Self-dual codes over commutative Frobenius rings
- Codes over \(\mathbb{Z}_{2^k}\), Gray map and self-dual codes
- Linear codes over \({\mathbb{F}_2+u\mathbb{F}_2+v\mathbb{F}_2+uv\mathbb{F}_2}\)
- Independence of vectors in codes over rings
- Linear codes over \(\mathbb Z_4+u\mathbb Z_4\): MacWilliams identities, projections, and formally self-dual codes
- A new upper bound on the minimal distance of self-dual codes
- Duality for modules over finite rings and applications to coding theory
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- Type IV self-dual codes over rings
- Maximum distance codes over rings of order 4
This page was built for publication: Codes over local rings of order 16 and binary codes
