Title :
An efficient scheme to determine the weight distribution of binary (138, 69, 22) extended quadratic residue code
Author :
Su, Wen-Ku ; Lee, Chong-Dao ; Truong, Trieu-Kien ; Chang, Yaotsu
Author_Institution :
Dept. of Inf. Eng., I-Shou Univ., Dashu
Abstract :
This paper utilizes an efficient 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 (138, 69, 22) extended quadratic residue code is given.
Keywords :
binary codes; residue codes; Assmus-Mattson theorem; Gleason theorem; binary extended quadratic residue codes; weight distribution; Algorithm design and analysis; Artificial intelligence; Books; Design engineering; Gold; Linear code; Mathematics; Parity check codes; Polynomials;
Conference_Titel :
Communications, Circuits and Systems, 2008. ICCCAS 2008. International Conference on
Conference_Location :
Fujian
Print_ISBN :
978-1-4244-2063-6
Electronic_ISBN :
978-1-4244-2064-3
DOI :
10.1109/ICCCAS.2008.4657722