Title :
Quasi-perfect Lee distance codes
Author :
AlBdaiwi, Bader F. ; Bose, Bella
Author_Institution :
Dept. of Math. & Comput. Sci., Kuwait Univ., Safat, Kuwait
fDate :
6/1/2003 12:00:00 AM
Abstract :
A construction of perfect/quasiperfect Lee distance codes in ZK2 is introduced. For this class of codes, a constant time encoding scheme is defined, the minimum code distance is derived, and the maximum covering radius is calculated. Efficient decoding schemes are investigated and developed. In general, a code of this class can be decoded in O(t1), where t1 is the number of errors that can be corrected. Special cases, however, can be decoded in constant time.
Keywords :
decoding; error correction codes; group theory; constant time encoding; decoding; error correction codes; finite Abelian group; maximum covering radius; minimum code distance; perfect Lee distance codes; quasi-perfect Lee distance codes; Computer science; Decoding; Encoding; Error correction codes; Fault tolerance; Graph theory; Mathematics; Multiprocessor interconnection networks; Phase modulation;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2003.811922