| dc.creator | Alves, MMS | |
| dc.creator | Panek, L | |
| dc.creator | Firer, M | |
| dc.date | 2008 | |
| dc.date | FEB | |
| dc.date | 2014-11-16T16:46:14Z | |
| dc.date | 2015-11-26T17:25:53Z | |
| dc.date | 2014-11-16T16:46:14Z | |
| dc.date | 2015-11-26T17:25:53Z | |
| dc.date.accessioned | 2018-03-29T00:13:06Z | |
| dc.date.available | 2018-03-29T00:13:06Z | |
| dc.identifier | Advances In Mathematics Of Communications. Amer Inst Mathematical Sciences, v. 2, n. 1, n. 95, n. 111, 2008. | |
| dc.identifier | 1930-5346 | |
| dc.identifier | WOS:000254707800006 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/65559 | |
| dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/65559 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/65559 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1284426 | |
| dc.description | Let P = ({1, 2,..., n}, <=) be a poset, let V-1, V-2,...,V-n, be a family of finite-dimensional spaces over a finite field F-q and let V = V-1 circle plus V-2 circle plus ... V-n. In this paper we endow V with a poset metric such that the P-weight is constant on the non-null vectors of a component V-i, extending both the poset metric introduced by Brualdi et al. and the metric for linear error-block codes introduced by Feng et al.. We classify all poset block structures which admit the extended binary Hamming code [8; 4; 4] to be a one-perfect poset block code, and present poset block structures that turn other extended Hamming codes and the extended Golay code [24; 12; 8] into perfect codes. We also give a complete description of the groups of linear isometrics of these metric spaces in terms of a semi-direct product, which turns out to be similar to the case of poset metric spaces. In particular, we obtain the group of linear isometrics of the error-block metric spaces. | |
| dc.description | 2 | |
| dc.description | 1 | |
| dc.description | 95 | |
| dc.description | 111 | |
| dc.language | en | |
| dc.publisher | Amer Inst Mathematical Sciences | |
| dc.publisher | Springfield | |
| dc.publisher | EUA | |
| dc.relation | Advances In Mathematics Of Communications | |
| dc.relation | Adv. Math. Commun. | |
| dc.rights | aberto | |
| dc.source | Web of Science | |
| dc.subject | poset codes | |
| dc.subject | linear error-block codes | |
| dc.subject | perfect poset block codes | |
| dc.subject | extended Hamming codes | |
| dc.subject | linear isometrics | |
| dc.subject | Automorphism Group | |
| dc.subject | Rosenbloom | |
| dc.subject | Space | |
| dc.title | Error-block codes and poset metrics | |
| dc.type | Artículos de revistas | |
