DC Field | Value | Language |
---|---|---|
dc.contributor.author | Li, Chengju | ko |
dc.contributor.author | Bae, Sunghan | ko |
dc.contributor.author | Yang, Shudi | ko |
dc.date.accessioned | 2019-03-19T01:25:43Z | - |
dc.date.available | 2019-03-19T01:25:43Z | - |
dc.date.created | 2019-03-04 | - |
dc.date.created | 2019-03-04 | - |
dc.date.issued | 2019-02 | - |
dc.identifier.citation | ADVANCES IN MATHEMATICS OF COMMUNICATIONS, v.13, no.1, pp.195 - 211 | - |
dc.identifier.issn | 1930-5346 | - |
dc.identifier.uri | http://hdl.handle.net/10203/251631 | - |
dc.description.abstract | Let 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.language | English | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | - |
dc.title | SOME TWO-WEIGHT AND THREE-WEIGHT LINEAR CODES | - |
dc.type | Article | - |
dc.identifier.wosid | 000458718300013 | - |
dc.identifier.scopusid | 2-s2.0-85060488481 | - |
dc.type.rims | ART | - |
dc.citation.volume | 13 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 195 | - |
dc.citation.endingpage | 211 | - |
dc.citation.publicationname | ADVANCES IN MATHEMATICS OF COMMUNICATIONS | - |
dc.identifier.doi | 10.3934/amc.2019013 | - |
dc.contributor.localauthor | Bae, Sunghan | - |
dc.contributor.nonIdAuthor | Li, Chengju | - |
dc.contributor.nonIdAuthor | Yang, Shudi | - |
dc.description.isOpenAccess | Y | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Linear codes | - |
dc.subject.keywordAuthor | two-weight codes | - |
dc.subject.keywordAuthor | three-weight codes | - |
dc.subject.keywordAuthor | Gauss sums | - |
dc.subject.keywordPlus | WEIGHT DISTRIBUTION | - |
dc.subject.keywordPlus | CYCLIC CODES | - |
dc.subject.keywordPlus | CONSTRUCTION | - |
dc.subject.keywordPlus | DISTRIBUTIONS | - |
dc.subject.keywordPlus | ENUMERATORS | - |
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