TITLE:
A Class of Constacyclic Codes over R + vR and Its Gray Image
AUTHORS:
Dajian Liao, Yuansheng Tang
KEYWORDS:
Frobenius Ring; Constacyclic Codes; Generator Polynomial; Dual Codes
JOURNAL NAME:
International Journal of Communications, Network and System Sciences,
Vol.5 No.4,
April
19,
2012
ABSTRACT: We study (1 + 2v)-constacyclic codes overR + vR and their Gray images, where v2 + v = 0 and R is a finite chain ring with maximal ideal λ> and nilpotency index e. It is proved that the Gray map images of a (1 + 2v)-constacyclic codes of length n over R + vR are distance-invariant linear cyclic codes of length 2n over R. The generator polynomials of this kind of codes for length n are determined, where n is relatively prime to p, p is the character of the field R/λ> . Their dual codes are also discussed.