| dc.contributor.author | Camarero Coterillo, Cristobal | es_ES |
| dc.contributor.author | Martínez Fernández, María del Carmen | es_ES |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2021-12-17T17:22:05Z | |
| dc.date.available | 2021-12-17T17:22:05Z | |
| dc.date.issued | 2016-03 | es_ES |
| dc.identifier.issn | 0018-9448 | es_ES |
| dc.identifier.issn | 1557-9654 | es_ES |
| dc.identifier.other | TIN2013-46957-C2-2-P | es_ES |
| dc.identifier.other | AP2010-4900 | es_ES |
| dc.identifier.uri | http://hdl.handle.net/10902/23592 | |
| dc.description.abstract | A construction of two-quasi-perfect Lee codes is given over the space ?np for p prime, p ? ±5 (mod 12), and n = 2[p/4]. It is known that there are infinitely many such primes. Golomb and Welch conjectured that perfect codes for the Lee metric do not exist for dimension n ? 3 and radius r ? 2. This conjecture was proved to be true for large radii as well as for low dimensions. The codes found are very close to be perfect, which exhibits the hardness of the conjecture. A series of computations show that related graphs are Ramanujan, which could provide further connections between coding and graph theories. | es_ES |
| dc.format.extent | 14 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Institute of Electrical and Electronics Engineers Inc. | es_ES |
| dc.rights | © 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. | es_ES |
| dc.source | IEEE Transactions on Information Theory, Vol. 62, No 3, Pp. 1183 - 1192 (2016) | es_ES |
| dc.title | Quasi-Perfect Lee Codes of Radius 2 and Arbitrarily Large Dimension | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publisherVersion | https://doi.org/10.1109/TIT.2016.2517069 | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.identifier.DOI | 10.1109/TIT.2016.2517069 | es_ES |
| dc.type.version | acceptedVersion | es_ES |
