ALGEBRAIC STRUCTURE OF CYCLIC AND NEGACYCLIC CODES OVER A FINITE CHAIN RING ALPHABET AND APPLICATIONS

• Tác giả: Quang Hai Dinh
• Ngôn ngữ: Vie
• Thông tin xuất bản: Tạp chí Khoa học Trường Đại học Vinh, 2019
• Bộ sưu tập: Metadata
• ID: 394972

Tóm tắt

Abstract: Foundational and theoretical aspects of algebraic coding theory arediscussed with the concentration in the classes of cyclic and negacyclic codes overfinite chain rings. The significant role of finite rings as alphabets in coding theoryis presented. We surveys results on both simple-root and repeated-root cases ofsuch codes. Many directions in which the notions of cyclicity and negacyclicityhave been generalized are also considered. The paper is devoted to giving anintroduction to this area of applied algebra. We do not intend to be encyclopedic,the topics included are bounded to reflect our own research interest