Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이윤진 | * |
dc.contributor.author | 김현진 | * |
dc.date.accessioned | 2016-08-29T12:08:49Z | - |
dc.date.available | 2016-08-29T12:08:49Z | - |
dc.date.issued | 2016 | * |
dc.identifier.issn | 0925-1022 | * |
dc.identifier.other | OAK-16271 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/230972 | - |
dc.description.abstract | Complementary information set codes (CIS codes) over a finite field GF(p) are closely connected to correlation-immune functions over GF(p), which are important cryptographic functions, where p is an odd prime. Using our CIS codes over GF(p) of minimum weight d+ 1 , we can obtain p-ary correlation-immune function of strength d. We find an efficient method for constructing CIS codes over GF(p). We also find a criterion for checking equivalence of CIS codes over GF(p). We complete the classification of all inequivalent CIS codes over GF(p) of lengths up to 8 for p= 3 , 5 , 7 using our construction and criterion. We also find their weight enumerators and the order of their automorphism groups. The class of CIS codes over GF(p) includes self-dual codes over GF(p) as its subclass, and some CIS codes are formally self-dual codes as well; we sort out our classification results. Furthermore, we show that long CIS codes over GF(p) meet the Gilbert–Vashamov bound. © 2016, Springer Science+Business Media New York. | * |
dc.language | English | * |
dc.publisher | Springer New York LLC | * |
dc.subject | Code | * |
dc.subject | Complementary information set code | * |
dc.subject | Correlation immune | * |
dc.subject | Equivalence | * |
dc.subject | Gilbert–Vashamov bound | * |
dc.subject | Self-dual code | * |
dc.title | Complementary information set codes over GF(p) | * |
dc.type | Article | * |
dc.relation.issue | 3 | * |
dc.relation.volume | 81 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 541 | * |
dc.relation.lastpage | 555 | * |
dc.relation.journaltitle | Designs, Codes, and Cryptography | * |
dc.identifier.doi | 10.1007/s10623-015-0174-3 | * |
dc.identifier.wosid | WOS:000389150800011 | * |
dc.identifier.scopusid | 2-s2.0-84954505957 | * |
dc.author.google | Kim H.J. | * |
dc.author.google | Lee Y. | * |
dc.contributor.scopusid | 이윤진(23100337700) | * |
dc.contributor.scopusid | 김현진(57191717738) | * |
dc.date.modifydate | 20240123113558 | * |