Title :
Modified decoding of binary Quadratic Residue codes by using Euclidean algorithm
Author :
Shih, Pei-Yu ; Su, Wen-Ku ; Lin, Tsung-Ching ; Truong, Trieu-Kien
Author_Institution :
Dept. of Inf. Eng., I-Shou Univ., Kaohsiung
Abstract :
In this paper, a modified decoding method is proposed for the binary quadratic residue (QR) codes. The key ideal behind the proposed method is to apply the properties of remainder decoding and the modified Gao´s algorithm. In the decoding method, the main features are efficient to compute syndromes and determine the error-locator polynomial. And the modified Gao´s algorithm is also developed in our decoding algorithm.
Keywords :
binary codes; decoding; polynomials; residue codes; Euclidean algorithm; binary quadratic residue codes; error-locator polynomial; modified Gao´s algorithm; modified decoding; Calculus; Decoding; Error correction; Error correction codes; Hardware; Helium; Nonlinear equations; Polynomials; Reed-Solomon codes; Gao´s algorithm; Quadratic Residue Codes; extended Euclidean algorithm; remainder decoding;
Conference_Titel :
Advanced Communication Technology, 2009. ICACT 2009. 11th International Conference on
Conference_Location :
Phoenix Park
Print_ISBN :
978-89-5519-138-7
Electronic_ISBN :
1738-9445