DC Field | Value | Language |
---|---|---|
dc.contributor.author | Li, Chengju | ko |
dc.contributor.author | Yue, Qin | ko |
dc.contributor.author | Fu, Fang-Wei | ko |
dc.date.accessioned | 2016-09-06T07:15:08Z | - |
dc.date.available | 2016-09-06T07:15:08Z | - |
dc.date.created | 2016-07-26 | - |
dc.date.created | 2016-07-26 | - |
dc.date.issued | 2016-08 | - |
dc.identifier.citation | DESIGNS CODES AND CRYPTOGRAPHY, v.80, no.2, pp.295 - 315 | - |
dc.identifier.issn | 0925-1022 | - |
dc.identifier.uri | http://hdl.handle.net/10203/212239 | - |
dc.description.abstract | Let F-r be a finite field with r = q(m) elements, alpha a primitive element of F-r, Tr-r/q the trace function from F-r onto F-q, r - 1 = nN for two integers n, N >= 1, and theta = alpha(N). In this paper, we use Gauss sums to investigate the complete weight enumerators of irreducible cyclic codes C = {c(a) = (Tr-r/q (a), Tr-r/q (a theta), ..., Tr-r/q(a theta(n-1)) : a is an element of F-r} and explicitly present the complete weight enumerators of some irreducible cyclic codes when gcd(n, q - 1) = q - 1 or q - 1/2. Moreover, we determine the complete weight enumerators of a class of cyclic codes with the check polynomials h(1)(x)h(2)(x) by using Gauss sums, where h(i) (x) are the minimal polynomials of alpha(-1)(i) over F-q and F-qmi* = <alpha(i)> for i = 1, 2. We shall obtain their explicit complete weight enumerators if gcd(m(1), m(2)) = 1 and q = 3 or 4 | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.subject | CONSTANT COMPOSITION CODES | - |
dc.subject | 2 ZEROS | - |
dc.subject | AUTHENTICATION CODES | - |
dc.subject | HAMMING WEIGHTS | - |
dc.subject | FINITE-FIELDS | - |
dc.subject | DUAL CODES | - |
dc.subject | DISTRIBUTIONS | - |
dc.subject | CONSTRUCTION | - |
dc.title | Complete weight enumerators of some cyclic codes | - |
dc.type | Article | - |
dc.identifier.wosid | 000378885600004 | - |
dc.identifier.scopusid | 2-s2.0-84929095296 | - |
dc.type.rims | ART | - |
dc.citation.volume | 80 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 295 | - |
dc.citation.endingpage | 315 | - |
dc.citation.publicationname | DESIGNS CODES AND CRYPTOGRAPHY | - |
dc.identifier.doi | 10.1007/s10623-015-0091-5 | - |
dc.contributor.nonIdAuthor | Yue, Qin | - |
dc.contributor.nonIdAuthor | Fu, Fang-Wei | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Complete weight enumerators | - |
dc.subject.keywordAuthor | Cyclic codes | - |
dc.subject.keywordAuthor | Gauss sums | - |
dc.subject.keywordPlus | CONSTANT COMPOSITION CODES | - |
dc.subject.keywordPlus | 2 ZEROS | - |
dc.subject.keywordPlus | AUTHENTICATION CODES | - |
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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