A Class of Constacyclic Codes over <i>R</i> + <i>vR</i> and Its Gray Image
نویسندگان
چکیده
منابع مشابه
A Class of Constacyclic Codes over R + vR and Its Gray Image
We study (1 + 2v)-constacyclic codes over R + vR and their Gray images, where v + 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,...
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Let be the quotient ring where is the finite field of size and is a positive integer. A Gray map of length over is a special map from to ( . The Gray map is said to be a ( )-Gray map if the image of any -constacyclic code over is a -constacyclic code over the field . In this paper we investigate the existence of ( )-Gray maps over . In this direction, we find an equivalent ...
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Article history: Received 11 April 2011 Revised 13 September 2011 Accepted 14 September 2011 Available online 28 September 2011 Communicated by Jacques Wolfmann
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ژورنال
عنوان ژورنال: Int'l J. of Communications, Network and System Sciences
سال: 2012
ISSN: 1913-3715,1913-3723
DOI: 10.4236/ijcns.2012.54029