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Quantum synchronizable codes are quantum error-correcting codes designed to correct the effects of both quantum noise and block… Expand This paper used an efficient scheme to determine the number of codewords for a given weight in the binary extended quadratic… Expand Recently, an algebraic decoding algorithm suggested by Truong (2005) for some quadratic residue codes with irreducible generating… Expand A new effective lookup table for decoding the binary systematic (41, 21, 9) quadratic residue (QR) code up to 4 errors is… Expand self-dual doubly-even code into three cases. A previous search assuming one of the cases found only the Extended Quadratic… Expand We investigate the weight structure and error-correcting performance of the ternary [13, 7, 5] quadratic-residue code. It is… Expand The techniques needed to decode the (47,24,11) quadratic residue (QR) code differ from the schemes developed for cyclic codes. By… Expand We construct new self-dual and isodual codes over the integers module 4. The binary images of these codes under the Gray map are… Expand An algebraic decoding algorithm for the 1/2-rate (32, 16, 8) quadratic residue (QR) code is found. The key idea of this algorithm… Expand In this paper we present the weight distribution of all 2^26 cosets of the (32,6) first-order Reed-Muller code. The code is… Expand