Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/24664
Title: | Non-existence of perfect 2-error correcting Lee codes of word length 7 over Z |
Author: | Cruz, Catarina Breda, Ana |
Keywords: | Perfect Lee codes Golomb-Welch conjecture Tilings Lee metric |
Issue Date: | Nov-2018 |
Publisher: | World Academy of Science, Engineering and Technology |
Abstract: | The Golomb-Welch conjecture states that there is no perfect r-error correcting Lee code of word length n over Z for n≥3 and r≥2. This problem has received great attention due to its importance in applications in several areas beyond mathematicsand computer sciences. Here, we give a contribution for the proof of the Golomb-Welch conjecture which reinforces it, proving the non-existence of perfect 2-error correcting Lee codes of word length 7 over Z. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/24664 |
Publisher Version: | https://waset.org/downloads/books/Paris-France-Nov-08-09,--2018,-20-(11)-Part-II.pdf |
Appears in Collections: | CIDMA - Comunicações AGG - Comunicações |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
PerfectLeecodes.pdf | 2.41 MB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.