Negacyclic codes of length 2ps over Fpm + uFpm

作者：Dinh, Hai Quang; Wang, Liqi^*; Zhu, Shixin

来源：Finite Fields and Their Applications, 2015, 31: 178-201.

DOI：10.1016/j.ffa.2014.09.003

• Negacyclic codes
• Dual codes
• Repeated-root codes

For any odd prime p, the structures of all negacyclic codes of length 2p(s) over the finite commutative chain ring Fp(m) + uFp(m) are established in term of their polynomial generators. When p(m) equivalent to 1 (mod 4), each negacyclic code of length 2p(s) is represented as a direct sum of a -alpha-constacyclic code and an alpha-constacyclic code of length p(s). In the case p(m) equivalent to (mod 4), such negacyclic codes are classified into 4 distinct types of ideals, and the detailed structures of ideals in each type are provided. Among other results, the number of codewords, and the dual of each negacyclic code are obtained.

• 出版日期2015-1
• 单位合肥工业大学