Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이윤진 | * |
dc.date.accessioned | 2021-11-10T16:30:54Z | - |
dc.date.available | 2021-11-10T16:30:54Z | - |
dc.date.issued | 2021 | * |
dc.identifier.issn | 1071-5797 | * |
dc.identifier.issn | 1090-2465 | * |
dc.identifier.other | OAK-30225 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/259254 | - |
dc.description.abstract | Our aim for this paper is to find the construction method for quasi-cyclic self-orthogonal codes over the finite field F-pm. We first explicitly determine the generators of alpha-constacyclic codes over the finite Frobenius non-chain ring R-p,R-m = F-pm [u, v]/(u(2) = v(2) = 0, uv = vu), where m is a positive integer, alpha = a + ub + vc + uvd is a unit of R-p,R-m,R- a, b, c, d is an element of F-pm, and a is nonzero. We then find a Gray map from R-p,R-m[x]/(x(n) - alpha) (with respect to homogeneous weights) to F-pm [x]/(x(p3m+1n) - a) (with respect to Hamming weights), which is linear and preserves minimum weights. We present an efficient algorithm for finding the Gray images of alpha-constacyclic codes over R-p,R-m of length n, which produces infinitely many quasi-cyclic self orthogonal codes over F-pm of length p(3m+1) and index p(3m). In particular, some family turns out to be "Griesmer" codes; these Griesmer quasi-cyclic self-orthogonal codes are "new" codes compared with previously known Griesmer codes of dimension 4. (C) 2021 Published by Elsevier Inc. | * |
dc.language | English | * |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | * |
dc.subject | Griesmer code | * |
dc.subject | Quasi-cyclic code | * |
dc.subject | Self-orthogonal code | * |
dc.subject | Gray map | * |
dc.title | An infinite family of Griesmer quasi-cyclic self-orthogonal codes | * |
dc.type | Article | * |
dc.relation.volume | 76 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.journaltitle | FINITE FIELDS AND THEIR APPLICATIONS | * |
dc.identifier.doi | 10.1016/j.ffa.2021.101923 | * |
dc.identifier.wosid | WOS:000701889800013 | * |
dc.identifier.scopusid | 2-s2.0-85114828924 | * |
dc.author.google | Kim, Bohyun | * |
dc.author.google | Lee, Yoonjin | * |
dc.author.google | Yoo, Jinjoo | * |
dc.contributor.scopusid | 이윤진(23100337700) | * |
dc.date.modifydate | 20240123113558 | * |