Open AccessConstruction of Linear Codes over Rings Zm Correcting Double ±1 or ±2 Errors
Author(s) -
Gurgen Khachatrian,
Hamlet K. Khachatrian
Publication year - 2018
Publication title -
mathematical problems of computer science
Language(s) - English
Resource type - Journals
eISSN - 2738-2788
pISSN - 2579-2784
DOI - 10.51408/1963-0008
Subject(s) - value (mathematics) , mathematics , code (set theory) , amplitude , linear code , algorithm , computer science , statistics , physics , block code , optics , decoding methods , programming language , set (abstract data type)
In this paper a construction of double ±1 and ±2 errors correcting linear optimal and quasi-optimal codes over rings Z5, Z7 and Z9 is presented with the limitation that both errors have the same amplitude in absolute value.