Please use this identifier to cite or link to this item: http://cmuir.cmu.ac.th/jspui/handle/6653943832/62929
Title: Type 2 constacyclic codes over [Formula presented] of oddly even length
Authors: Yuan Cao
Yonglin Cao
Hai Q. Dinh
Fang Wei Fu
Yun Gao
Songsak Sriboonchitta
Keywords: Mathematics
Issue Date: 1-Feb-2019
Abstract: © 2018 Elsevier B.V. Let [Formula presented] be a finite field of cardinality [Formula presented], [Formula presented] be an odd positive integer, and denote [Formula presented]. Let [Formula presented]. Then [Formula presented]-constacyclic codes over [Formula presented] are called constacyclic codes over [Formula presented] of Type 2. In this paper, an explicit representation and a complete description for all distinct [Formula presented]-constacyclic codes over [Formula presented] of length [Formula presented] and their dual codes are given. Moreover, explicit formulas for the number of codewords in each code and the number of all such codes are provided respectively. In particular, all distinct self-dual [Formula presented]-constacyclic codes over [Formula presented] of length [Formula presented] are presented precisely. In addition, a complement to a result in Cao et al. (2017) is given.
URI: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85056186039&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/62929
ISSN: 0012365X
Appears in Collections:CMUL: Journal Articles

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