Title :
On the performance of the ternary [13, 7, 5] quadratic-residue code
Author :
Baicheva, Tsonka ; Dodunekov, Stefan ; Koetter, Ralf
Author_Institution :
Inst. of Math. & Inf., Bulgarian Acad. of Sci., Sofia, Bulgaria
fDate :
2/1/2002 12:00:00 AM
Abstract :
We investigate the weight structure and error-correcting performance of the ternary [13, 7, 5] quadratic-residue code. It is shown that the covering radius of the code is equal to three and it is t-proper for error correction for any t=0, 1, 2. Two decoding algorithms are suggested
Keywords :
BCH codes; decoding; error correction codes; residue codes; ternary codes; BCH code; Bose-Chaudhuri-Hocquenghem code; algebraic decoding algorithms; covering radius; error positions; error-correcting performance; table lookup; ternary quadratic-residue code; weight structure; Decoding; Error correction; Error correction codes; Galois fields; Hamming distance; Informatics; Mathematics; Memoryless systems; Polynomials; Sufficient conditions;
Journal_Title :
Information Theory, IEEE Transactions on
