Good Linear Codes from Quadratic Residue Codes over a Finite Non‐Chain Ring. Issue 4 (1st July 2017)

• Record Type: Journal Article
• Authors: Gao, Jian; Ma, Fanghui
• Is Part Of: Chinese journal of electronics. Volume 26:Issue 4(2017)
• Page Start: 773
• Page End: 777
• Publication Date: 2017-07-01
• Subjects: Gray map -- Quadratic residue codes -- Good linear codes; linear codes; linear codes -- quadratic residue codes -- finite nonchain ring -- Gray maps -- self‐duality preservation -- finite field -- structural properties; Electronics -- Periodicals; Electronics -- China -- Periodicals; Electronics; China; Periodicals; 621.38105
• DOI: 10.1049/cje.2017.05.001
• Languages: English
• ISSNs: 1022-4653

Abstract

Abstract : This paper is devoted to the study of quadratics residue codes and their extended codes over a finite non‐chain ring. A class of Gray maps preserving the self‐duality from the ring to the finite field are introduced. Some structural properties of quadratic residue codes and their extended codes are given. As an interesting application of these families of codes, some good linear codes are obtained by a special Gray map.