A Class of Constacyclic Codes over R vR and Its Gray ImageReport as inadecuate




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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 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- . Their dual codes are also discussed.

KEYWORDS

Frobenius Ring; Constacyclic Codes; Generator Polynomial; Dual Codes

Cite this paper

D. Liao and Y. Tang -A Class of Constacyclic Codes over R + vR and Its Gray Image,- International Journal of Communications, Network and System Sciences, Vol. 5 No. 4, 2012, pp. 222-227. doi: 10.4236-ijcns.2012.54029.





Author: Dajian Liao, Yuansheng Tang

Source: http://www.scirp.org/



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