#### SOME TWO-WEIGHT AND THREE-WEIGHT LINEAR CODES

Cited 0 time in Cited 0 time in
• Hit : 98
DC FieldValueLanguage
dc.contributor.authorLi, Chengjuko
dc.contributor.authorBae, Sunghanko
dc.contributor.authorYang, Shudiko
dc.date.accessioned2019-03-19T01:25:43Z-
dc.date.available2019-03-19T01:25:43Z-
dc.date.created2019-03-04-
dc.date.issued2019-02-
dc.identifier.citationADVANCES IN MATHEMATICS OF COMMUNICATIONS, v.13, no.1, pp.195 - 211-
dc.identifier.issn1930-5346-
dc.identifier.urihttp://hdl.handle.net/10203/251631-
dc.description.abstractLet F-q be the finite field with q = p(m) elements, where p is an odd prime and m is a positive integer. For a positive integer t, let D subset of F-q(t) and let Tr-m be the trace function from F-q onto F-p. We define a p-ary linear code C-D by C-D = {c(a(1), a(2), ... , a(t)) = a(1), a(2), ... , a(t) is an element of F-pm}, where c(a(1), a(2), ... . a(t)) = (Tr-m(a(1)x(1) + a(2)x(2) + ... + a(t)x(t)))((x1, x2, ... , xt)) (is an element of D). In this paper, we will present the weight enumerators of the linear codes C-D in the following two cases: 1. D = {(x(1), x(2), ... , x(t)) is an element of F-q(t) \ {(0, 0, ... , 0)} : Tr-m(x(2)(1) + x(2)(2) + ... + x(2)(t)) = 0}; 2. D = {(x(1), x(2), ... , x(t)) is an element of F-q(t) : Tr-m(x(1)(2) + x(2)(2) + ... + x(t)(2)) = 1}. It is shown that C-D is a two-weight code if tm is even and three-weight code if tm is odd in both cases. The weight enumerators of C-D in the first case generalize the results in [17] and [18]. The complete weight enumerators of C-D are also investigated.-
dc.languageEnglish-
dc.publisherAMER INST MATHEMATICAL SCIENCES-AIMS-
dc.titleSOME TWO-WEIGHT AND THREE-WEIGHT LINEAR CODES-
dc.typeArticle-
dc.identifier.wosid000458718300013-
dc.identifier.scopusid2-s2.0-85060488481-
dc.type.rimsART-
dc.citation.volume13-
dc.citation.issue1-
dc.citation.beginningpage195-
dc.citation.endingpage211-
dc.identifier.doi10.3934/amc.2019013-
dc.contributor.localauthorBae, Sunghan-
dc.contributor.nonIdAuthorLi, Chengju-
dc.contributor.nonIdAuthorYang, Shudi-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorLinear codes-
dc.subject.keywordAuthortwo-weight codes-
dc.subject.keywordAuthorthree-weight codes-
dc.subject.keywordAuthorGauss sums-
dc.subject.keywordPlusWEIGHT DISTRIBUTION-
dc.subject.keywordPlusCYCLIC CODES-
dc.subject.keywordPlusCONSTRUCTION-
dc.subject.keywordPlusDISTRIBUTIONS-
dc.subject.keywordPlusENUMERATORS-
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.