Journal of University of Science and Technology of China ›› 2015, Vol. 45 ›› Issue (6): 465-469.DOI: 10.3969/j.issn.0253-2778.2015.06.006

• Original Paper • Previous Articles    

Negacyclic codes over Fq+uFq+…+uk-1Fq

CHEN Xiaojing, ZHU Shixin   

  1. School of Mathematics, Hefei University of Technology, Hefei 230009, China
  • Received:2015-02-04 Revised:2015-04-08 Accepted:2015-04-08 Online:2015-04-08 Published:2015-04-08

Abstract: Negacyclic codes of arbitrary lengths over the polynomial residue ring Fq+uFq+…+uk-1Fq were studied. By means of the finite ring theory, the structure of negacyclic codes over the ring of arbitrary lengths was given. The Hamming distance of negacyclic codes of length ps over the ring was also studied.

Key words: negacyclic codes, finite ring theory, Hamming distance

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