Title :
On determination of the weight distribution of binary (168, 84, 24) extended quadratic residue code
Author :
Su, Wen-Ku ; Lee, Chong-Dao ; Lin, Tsung-Ching ; Truong, Trieu-Kien ; Chang, Yaotsu
Author_Institution :
Dept. of Inf. Eng., I-Shou Univ., Kaohsiung
Abstract :
This paper proposes a novel scheme which consists of a weight-counting algorithm, the combinatorial designs of the Assmus-Mattson theorem, and the weight polynomial of Gleasonpsilas theorem to determine the weight distributions of binary extended quadratic residue codes. As a consequence, the weight distribution of binary (168, 84, 24) extended quadratic residue code is given.
Keywords :
binary codes; polynomials; residue codes; Assmus-Mattson theorem; Gleason theorem; binary extended quadratic residue code; weight distribution; weight polynomial; Algorithm design and analysis; Books; Decoding; Error correction; Linear code; Mathematics; Parity check codes; Performance evaluation;
Conference_Titel :
Information Theory, 2008. ISIT 2008. IEEE International Symposium on
Conference_Location :
Toronto, ON
Print_ISBN :
978-1-4244-2256-2
Electronic_ISBN :
978-1-4244-2257-9
DOI :
10.1109/ISIT.2008.4595065
