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The weight distributions of some binary quadratic residue codes

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3 Author(s)
Trieu-Kien Truong ; Dept. of Appl. Math., I-Shou Univ., Kaohsiung, Taiwan ; Yaotsu Chang ; Chong-Dao Lee

The weight distributions of binary quadratic residue codes C can be computed from the weight distribution of a subset of C containing one-fourth (resp., one-eighth) of the codewords in C when the length of the code is congruent to 1 (resp., -1) modulo 8. An algorithm to determine the weight distributions of binary cyclic codes is given. As a consequence, the weight distributions of (73,37,13), (89,45,17), and (97,49,15) quadratic residue codes are determined precisely.

Published in:

IEEE Transactions on Information Theory  (Volume:51 ,  Issue: 5 )