A modified bordered construction for self-dual codes from group rings

DOI10.13069/jacodesmath.729402zbMath1469.94133OpenAlexW3020986183MaRDI QIDQ5855590

Abidin Kaya, Bahattin Yildiz, Joe Gildea, Alexander Tylyshchak

Publication date: 19 March 2021

Published in: Journal of Algebra Combinatorics Discrete Structures and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.13069/jacodesmath.729402

zbMATH Keywords

group ringsself-dual codescodes over ringsbordered constructions

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items

Extremal binary self-dual codes from a bordered four circulant construction ⋮ The weight enumerators of singly-even self-dual \([88,44,14\) codes and new binary self-dual \([68,34,12]\) and \([88,44,14]\) codes] ⋮ New binary self-dual codes of lengths \(56, 58, 64, 80\) and \(92\) from a modification of the four circulant construction

Cites Work

• Codes over \(R_k\), Gray maps and their binary images
• A group ring construction of the \([48,24,12\) Type II linear block code]
• The extended Golay codes considered as ideals
• The existence of a self-dual \([70 ,35 ,12\) code and formally self-dual codes.]
• Type II codes over \(\mathbb F_4\)
• Group rings, \(G\)-codes and constructions of self-dual and formally self-dual codes
• Constructions for self-dual codes induced from group rings
• Self-dual codes with an automorphism of order 13
• A new upper bound on the minimal distance of self-dual codes
• A Group Ring Construction of the Extended Binary Golay Code
• Extremal binary self-dual codes
• Shadow bounds for self-dual codes
• Type II codes over F/sub 2/+uF/sub 2/
• Type II codes over \(\mathbb{F}_4+u\mathbb{F}_4\)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item