Title :
Codes Correcting Single Errors of Limited Magnitude
Author :
Kløve, Torleiv ; Luo, Jinquan ; Yari, Somaye
Author_Institution :
Dept. of Inf., Univ. of Bergen, Bergen, Norway
fDate :
4/1/2012 12:00:00 AM
Abstract :
An error model with symmetric errors of limited magnitude is considered. Limited magnitude means that the size of any error is limited by a number smaller (usually much smaller) than the alphabet size. Several constructions of codes correcting a single error are given. In some cases, the codes are perfect or quasi- perfect.
Keywords :
error correction codes; error model; error size; limited magnitude symmetric errors; perfect codes; quasiperfect codes; single error correction codes; Channel models; Educational institutions; Gold; Hamming weight; Indexes; Linear code; Vectors; Error correction; limited magnitude error; packings of crosses; symmetric error;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2011.2179007
