A new class of codes in Lee metric and their application to error-correcting modulation codes
V.Yu. Krachkovsky, Yuan Xing Lee, Viacheslav Davydov · IEEE Transactions on Magnetics · 1996
A new class of t-error-correcting codes in Lee metric is proposed. For the new codes, unlike the BCH codes in Lee metric, the Galois field characteristic may be chosen independently of t and metric parameter Q. The proposed codes are applied for the bitshift error detection/correction in (d,k)-encoded binary data. The resulting fixed-length error-correcting/modulation code have a regular encoding and can be used for the constraints, imposed by any given FSTD. The 2-shift correcting codes are specially studied. It is shown that both for the finite lengths case and asymptotically these codes outperform the construction based on BCH codes.