Optimal, Systematic, $q$-Ary Codes Correcting All Asymmetric and Symmetric Errors of Limited Magnitude
Noha Elarief, Bella Bose · IEEE Transactions on Information Theory · 2010
Systematic q-ary (q> 2) codes capable of correcting all asymmetric errors of maximum magnitudel, where l ¿ q - 2, are given. These codes are shown to be optimal. Further, simple encoding/decoding algorithms are described. The proposed code can be modified to design codes correcting all symmetric errors of maximum magnitudel, wherel¿ (q-2)/2.