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On systematic single asymmetric error-correcting codes

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2 Author(s)
Bose, B. ; Dept. of Comput. Sci., Oregon State Univ., Corvallis, OR, USA ; Al-Bassam, S.A.

It is proved that for all values of code length n, except when n=2, 4, and 8 and possibly when n=2r and n=2r+1, where r⩾1, the Hamming codes are also optimal systematic single asymmetric error-correcting codes. For the cases n=2r and n=2 r+1, r⩾4, when not all information words are used, two efficient systematic 1-asymmetric codes are described

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Information Theory, IEEE Transactions on  (Volume:46 ,  Issue: 2 )