Ontology type: schema:ScholarlyArticle Open Access: True
2016-08-11
AUTHORSHaifeng Yu, Yu Wang, Minjia Shi
ABSTRACTConstacyclic codes are an important class of linear codes in coding theory. Many optimal linear codes are directly derived from constacyclic codes. In this paper, (1 + u)-constacyclic codes over Z4 + uZ4 of any length are studied. A new Gray map between Z4 + uZ4 and Z44 is defined. By means of this map, it is shown that the Z4 Gray image of a (1 + u)-constacyclic code of length n over Z4 + uZ4 is a cyclic code over Z4 of length 4n. Furthermore, by combining the classical Gray map between Z4 and F22, it is shown that the binary image of a (1 + u)-constacyclic code of length n over Z4 + uZ4 is a distance invariant binary quasi-cyclic code of index 4 and length 8n. Examples of good binary codes are constructed to illustrate the application of this class of codes. More... »
PAGES1325
http://scigraph.springernature.com/pub.10.1186/s40064-016-2717-0
DOIhttp://dx.doi.org/10.1186/s40064-016-2717-0
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PUBMEDhttps://www.ncbi.nlm.nih.gov/pubmed/27563520
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