Title :
Algebraic decoding of (103, 52, 19) and (113, 57, 15) quadratic residue codes
Author :
Truong, Trieu-Kien ; Chang, Yaotsu ; Chen, Yan-Haw ; Lee, C.-D.
Author_Institution :
Dept. of Appl. Math., I-Shou Univ., Taiwan
fDate :
5/1/2005 12:00:00 AM
Abstract :
In this paper, two algebraic decoders for the (103, 52, 19) and (113, 57, 15) quadratic residue codes, which have lengths greater than 100, are presented. The results have been verified by software simulation that programs in C++ language have been executed to check possible error patterns of both quadratic residue codes.
Keywords :
C++ language; algebraic codes; binary codes; decoding; residue codes; C++ language; algebraic decoding; error pattern; quadratic residue code; Communications Society; Computer errors; Councils; Decoding; Flowcharts; Helium; Mathematics; Modulation coding; Polynomials; Terminology; Inverse-free Berlekamp–Massey (BM) algorithm; irreducible generator polynomial; quadratic residue codes; unknown syndromes;
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOMM.2005.847147
