A New Scheme to Determine the Weight Distributions of Binary Extended Quadratic Residue Codes
Trieu‐Kien Truong, Chong‐Dao Lee, Y. Chang, Wen-Ku Su · IEEE Transactions on Communications · 2009
This letter proposes a novel scheme which consists of a weight-counting algorithm, the combinatorial designs of the Assmus-Mattson theorem, and the weight polynomial of Gleason's theorem to determine the weight distributions of binary extended quadratic residue codes. As a consequence, the weight distributions of binary (138, 69, 22) and (168, 84, 24) extended quadratic residue codes are given.