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H. Q. Dinh and S. R. Lopez-Permouth, “Cyclic and Negacyclic Codes over Finite Chain Rings,” I IEEE Transactions on Information Theory, Vol. 50, No. 8, 2004, pp. 1728-1744. d oi:10.1109/TIT.2004.831789

has been cited by the following article:

• 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.