Title :
List decoding of crisscross error patterns
Author :
Wachter-Zeh, Antonia
Author_Institution :
Comput. Sci. Dept., Technion - Israel Inst. of Technol., Haifa, Israel
fDate :
June 29 2014-July 4 2014
Abstract :
List decoding of crisscross errors in arrays over finite fields is considered. A Johnson-like upper bound on the maximum list size in the cover metric is derived, showing that the list of codewords has polynomial size up to a certain radius. Further, a simple list decoding algorithm for a known optimal code construction is presented, which decodes errors in the cover metric up to our upper bound. These results reveal significant differences between the cover metric and the rank metric.
Keywords :
Galois fields; computational complexity; decoding; error correction codes; Johnson-like upper bound; codewords; cover metric; crisscross error pattern; decoding error; finite fields; list decoding; maximum list size; optimal code construction; polynomial size; rank metric; Complexity theory; Decoding; Manganese; Measurement; Upper bound; Vectors; cover metric; crisscross errors; list decoding;
Conference_Titel :
Information Theory (ISIT), 2014 IEEE International Symposium on
Conference_Location :
Honolulu, HI
DOI :
10.1109/ISIT.2014.6875030