From a practical point of view the codes over rings Z2m or Z2m+1 are interesting, because they can be used in QAM (Quadrature amplitude modulation) schemes. Until today we only know codes with 4 parity check symbols, which have a limited length C (N, N-4). In this paper a method allowing to construct C(2N, 2N-6) double ±1 error correcting codes over rings Zm from the given C(N, N-4) double ±1 error correcting codes over rings Zm is developed by adding only two extra parity check symbols.
oai:noad.sci.am:135782
American University of Armenia ; Institute for Informatics and Automation Problems
11th International Conference on Computer Science and Information Technologies CSIT 2017
Mar 3, 2021
Jul 15, 2020
13
https://noad.sci.am/publication/149309
Հրատարակության անուն | Ամսաթիվ |
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Gurgen Khachatryan, Construction Method of (2N, 2N – 6) Linear Codes over Ring Zm , Based on (N, N – 4) Linear Codes Correcting Double ±1 Types of Errors | Mar 3, 2021 |
Khachatryan Gurgen Hovsepyan Mihran Jivanyan Aram
Khachatryan Gurgen Abrahamyan Sergey