On weak isometries of Preparata codes
| dc.creator | Mogilnykh, Ivan Yu. | |
| dc.date | 2009-02-13 | |
| dc.date | 2009-02-20 | |
| dc.date.accessioned | 2026-07-07T12:44:05Z | |
| dc.date.available | 2026-07-07T12:44:05Z | |
| dc.description | Let C1 and C2 be codes with code distance d. Codes C1 and C2 are called weakly isometric, if there exists a mapping J:C1->C2, such that for any x,y from C1 the equality d(x,y)=d holds if and only if d(J(x),J(y))=d. Obviously two codes are weakly isometric if and only if the minimal distance graphs of these codes are isomorphic. In this paper we prove that Preparata codes of length n>=2^12 are weakly isometric if and only if these codes are equivalent. The analogous result is obtained for punctured Preparata codes of length not less than 2^10-1. | |
| dc.description | Submitted to Problems of Information Transmission on 11th of January 2009 | |
| dc.identifier | https://arxiv.org/abs/0902.2316 | |
| dc.identifier | http://arxiv.org/abs/0902.2316 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/220645 | |
| dc.subject | Information Theory | |
| dc.title | On weak isometries of Preparata codes | |
| dc.type | text |