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Systematic q-ary (q > 2) codes capable of correcting all asymmetric errors of maximum magnitude l , where l Â¿ 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 magnitude l, where l Â¿ (q-2)/2.
Date of Publication: March 2010