On Abelian one-dimensional hull codes in group algebras

• Published in: Designs, codes, and cryptography Vol. 92; no. 12; pp. 4335 - 4352
• Main Authors: Luo, Rong, Yan, Mingliang, Mesnager, Sihem, Han, Dongchun
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.12.2024; Springer Nature B.V
• Subjects: Algebra; Binary codes; Coding and Information Theory; Computer Science; Cryptology; Discrete Mathematics in Computer Science; Enumeration; Fields (mathematics); Group theory; Hulls; 94A05; Linear code; Dual code; Group algebra; 94B05; 94B27; Hull dimensional code; 1T71; Abelian codes; Hull

This paper focuses on hull dimensional codes obtained by the intersection of linear codes and their dual. These codes were introduced by Assmus and Key and have been the subject of significant theoretical and practical research over the years, gaining increased attention in recent years. Let F q den...