A new scheme to determine the weight distributions of binary extended quadratic residue codes
TK Truong, CD Lee, Y Chang… - IEEE transactions on …, 2009 - ieeexplore.ieee.org
TK Truong, CD Lee, Y Chang, WK Su
IEEE transactions on communications, 2009•ieeexplore.ieee.orgThis 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.
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.
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.
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