DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bae, Sunghan | ko |
dc.contributor.author | Li, Chengju | ko |
dc.contributor.author | Yue, Qin | ko |
dc.date.accessioned | 2016-04-15T02:55:07Z | - |
dc.date.available | 2016-04-15T02:55:07Z | - |
dc.date.created | 2015-09-14 | - |
dc.date.created | 2015-09-14 | - |
dc.date.issued | 2015-12 | - |
dc.identifier.citation | DISCRETE MATHEMATICS, v.338, no.12, pp.2275 - 2287 | - |
dc.identifier.issn | 0012-365X | - |
dc.identifier.uri | http://hdl.handle.net/10203/203827 | - |
dc.description.abstract | Let F-r be a finite field with r = q(m) elements and theta a primitive element of F-r. Suppose that h(1)(x) and h(2)(x) are the minimal polynomials over F-q of g(1)(-1) and g(2)(-1), respectively, where g(1), g(2) is an element of F-r*Let C be a reducible cyclic code over F-q with check polynomial h(1)(x)h(2)(x). In this paper, we investigate the complete weight enumerators of the cyclic codes C in the following two cases: (l)g(1) = theta(q-1/h),g(2) = beta g(1), where h > 1 is a divisor of q - 1, e > 1 is a divisor of h, and beta = theta(r-1/e); (2) g(1) = theta(2), g(2) = theta(Pk+1), where q = p is an odd prime and k is a positive integer. Moreover, we explicitly present the complete weight enumerators of some cyclic codes. | - |
dc.language | English | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.subject | STRONGLY REGULAR GRAPHS | - |
dc.subject | REED-SOLOMON CODES | - |
dc.subject | 2 ZEROS | - |
dc.subject | AUTHENTICATION CODES | - |
dc.subject | CYCLOTOMIC CLASSES | - |
dc.subject | HAMMING WEIGHTS | - |
dc.subject | FINITE-FIELDS | - |
dc.subject | DUAL CODES | - |
dc.subject | DISTRIBUTIONS | - |
dc.subject | CONSTRUCTION | - |
dc.title | On the complete weight enumerators of some reducible cyclic codes | - |
dc.type | Article | - |
dc.identifier.wosid | 000359955700013 | - |
dc.identifier.scopusid | 2-s2.0-84934954374 | - |
dc.type.rims | ART | - |
dc.citation.volume | 338 | - |
dc.citation.issue | 12 | - |
dc.citation.beginningpage | 2275 | - |
dc.citation.endingpage | 2287 | - |
dc.citation.publicationname | DISCRETE MATHEMATICS | - |
dc.identifier.doi | 10.1016/j.disc.2015.05.016 | - |
dc.contributor.localauthor | Bae, Sunghan | - |
dc.contributor.nonIdAuthor | Li, Chengju | - |
dc.contributor.nonIdAuthor | Yue, Qin | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Complete weight enumerators | - |
dc.subject.keywordAuthor | Cyclic codes | - |
dc.subject.keywordAuthor | Gauss sums | - |
dc.subject.keywordPlus | STRONGLY REGULAR GRAPHS | - |
dc.subject.keywordPlus | REED-SOLOMON CODES | - |
dc.subject.keywordPlus | 2 ZEROS | - |
dc.subject.keywordPlus | AUTHENTICATION CODES | - |
dc.subject.keywordPlus | CYCLOTOMIC CLASSES | - |
dc.subject.keywordPlus | HAMMING WEIGHTS | - |
dc.subject.keywordPlus | FINITE-FIELDS | - |
dc.subject.keywordPlus | DUAL CODES | - |
dc.subject.keywordPlus | DISTRIBUTIONS | - |
dc.subject.keywordPlus | CONSTRUCTION | - |
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