Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이윤진 | - |
dc.date.accessioned | 2024-08-26T16:31:14Z | - |
dc.date.available | 2024-08-26T16:31:14Z | - |
dc.date.issued | 2024 | - |
dc.identifier.issn | 1894-9448 | - |
dc.identifier.other | OAK-35728 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/269400 | - |
dc.description.abstract | We construct several families of distance-optimal few-weight binary linear codes. As a method, we use the mixed alphabet ring Z2Z2[u], u2 = 0 (viewing Z2Z2[u] as a Z2[u]-module) and three suitable defining sets, each consisting of three simplicial complexes generated by a single maximal element to construct three different families of linear codes over Z2[u], u2 = 0. We explicitly determine their Lee weight distributions and study their Gray images to obtain our results. It turns out that most of the distance-optimal codes obtained in this paper are self-orthogonal and minimal as well. We emphasize that we find an infinite family of binary three-weight projective codes with new parameters, which produce strongly l-walk-regular graphs for every odd l ≥ 3. © 2024 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. | - |
dc.description.sponsorship | Institute of Electrical and Electronics Engineers Inc. | - |
dc.language | English | - |
dc.subject | few-weight optimal code | - |
dc.subject | minimal code | - |
dc.subject | self-orthogonal code | - |
dc.subject | Simplicial complex | - |
dc.subject | strongly walk-regular graph | - |
dc.title | Optimal Binary Few-Weight Codes Using a Mixed Alphabet Ring and Simplicial Complexes | - |
dc.type | Article | - |
dc.relation.issue | 7 | - |
dc.relation.volume | 70 | - |
dc.relation.index | SCIE | - |
dc.relation.index | SCOPUS | - |
dc.relation.startpage | 4865 | - |
dc.relation.lastpage | 4878 | - |
dc.relation.journaltitle | IEEE Transactions on Information Theory | - |
dc.identifier.doi | 10.1109/TIT.2024.3384067 | - |
dc.identifier.wosid | WOS:001253773500022 | - |
dc.identifier.scopusid | 2-s2.0-85190171052 | - |
dc.author.google | Mondal | - |
dc.author.google | Nilay Kumar | - |
dc.author.google | Lee | - |
dc.author.google | Yoonjin | - |
dc.contributor.scopusid | 이윤진(23100337700) | - |
dc.date.modifydate | 20240826134425 | - |