dc.creator | Munuera, C | |
dc.creator | Torres, F | |
dc.date | 2004 | |
dc.date | SEP | |
dc.date | 2014-11-15T02:45:36Z | |
dc.date | 2015-11-26T17:35:49Z | |
dc.date | 2014-11-15T02:45:36Z | |
dc.date | 2015-11-26T17:35:49Z | |
dc.date.accessioned | 2018-03-29T00:18:01Z | |
dc.date.available | 2018-03-29T00:18:01Z | |
dc.identifier | Applicable Algebra In Engineering Communication And Computing. Springer, v. 15, n. 2, n. 81, n. 100, 2004. | |
dc.identifier | 0938-1279 | |
dc.identifier | WOS:000224435700001 | |
dc.identifier | 10.1007/s00200-004-0150-z | |
dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/78231 | |
dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/78231 | |
dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/78231 | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1285682 | |
dc.description | Let C be an algebraic geometric code of dimension k and length n constructed on a curve X over F-q. Let s (C) be the state complexity of C and set w(C) := min{k, n - k}, the Wolf upper bound on s(C). We introduce a numerical function R that depends on the gonality sequence of X and show that s(C) greater than or equal to w(C) - R(2g - 2), where g is the genus of X. As a matter of fact, R(2g - 2) less than or equal to g - (gamma(2) - 2) with gamma(2) being the gonality of X over F-q, and thus in particular we have that s (C) greater than or equal to (C) g + gamma(2) - 2. | |
dc.description | 15 | |
dc.description | 2 | |
dc.description | 81 | |
dc.description | 100 | |
dc.language | en | |
dc.publisher | Springer | |
dc.publisher | New York | |
dc.publisher | EUA | |
dc.relation | Applicable Algebra In Engineering Communication And Computing | |
dc.relation | Appl. Algebr. Eng. Commun. Comput. | |
dc.rights | fechado | |
dc.rights | http://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0 | |
dc.source | Web of Science | |
dc.subject | error correcting codes | |
dc.subject | algebraic geometric codes | |
dc.subject | trellis state complexity | |
dc.subject | gonality sequence of curves | |
dc.subject | Linear Block-codes | |
dc.subject | Goppa Codes | |
dc.subject | Weights | |
dc.subject | Bch | |
dc.title | Bounding the trellis state complexity of algebraic geometric codes | |
dc.type | Artículos de revistas | |