Cross-Error Correcting Integer Codes over Z₂ₘ
Trautmann, Anna-Lena · Viterbo, Emanuele
Original · EN
In this work we investigate codes in Z₂ₘⁿ that can correct errors that occur in just one coordinate of the codeword, with a magnitude of up to a given parameter t. We will show upper bounds on these cross codes, derive constructions for linear codes and respective decoding algorithm. The constructions (and decoding algorithms) are given for length n = 2 and n = 3, but for general m and t.
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