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A result on the weight distributions of binary quadratic residue codes
Authors:Chong-Dao Lee  Yaotsu Chang  Trieu-Kien Truong
Affiliation:(1) College of Electrical and Information Engineering, I-Shou University, Ta-Hsu Hsiang, Kaohsiung County, 84008 Taiwan, R.O.C;(2) Department of Applied Mathematics, I-Shou University, Ta-Hsu Hsiang, Kaohsiung County, 84008 Taiwan, R.O.C
Abstract:Truong et al. [7]proved that the weight distribution of a binary quadratic residue code C with length congruent to −1 modulo 8 can be determined by the weight distribution of a certain subcode of C containing only one-eighth of the codewords of C. In this paper, we prove that the same conclusion holds for any binary quadratic residue codes.
Keywords:Quadratic residue codes  Weight distributions  Projective special linear group  Automorphism group
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