On structure and distances of some classes of repeated-root constacyclic codes over Galois rings

Please use this identifier to cite or link to this item: http://cmuir.cmu.ac.th/jspui/handle/6653943832/57375

Title:	On structure and distances of some classes of repeated-root constacyclic codes over Galois rings
Authors:	Hai Q. Dinh Hongwei Liu Xiu sheng Liu Songsak Sriboonchitta
Authors:	Hai Q. Dinh Hongwei Liu Xiu sheng Liu Songsak Sriboonchitta
Keywords:	Engineering;Mathematics
Issue Date:	1-Jan-2017
Abstract:	© 2016 Elsevier Inc. The structure of λ-constacyclic codes of length 2sover the Galois ring GR(2a,m) is obtained, for any unit λ of the form 4z−1, z∈GR(2a,m). The duals codes and necessary and sufficient conditions for the existence of a self-dual λ-constacyclic code are provided. Among others, this structure is used to establish the Hamming, homogeneous, and Rosenbloom–Tsfasman distances, and Rosenbloom–Tsfasman weight distribution of all such constacyclic codes.
URI:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84991738766&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57375
ISSN:	10902465 10715797
Appears in Collections:	CMUL: Journal Articles

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