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In order to use Berlekamp-Massey algorithm to decode the (89, 45, 17) binary quadratic residue code, one needs to determine two primary unknown syndromes. In this paper, the authors give some syndrome matrices, so as to calculate one primary unknown syndrome efficiently. This results in a reduction of decoding complexity in terms of CPU time by 35% at least versus the decoder proposed by Truong et...
In this paper, a modified decoding method is proposed for the binary quadratic residue (QR) codes. The key ideal behind the proposed method is to apply the properties of remainder decoding and the modified Gao's algorithm. In the decoding method, the main features are efficient to compute syndromes and determine the error-locator polynomial. And the modified Gao's algorithm is also developed in our...
In this paper, a decoding algorithm for the (89, 45, 17) quadratic residue code is proposed to decode all error patterns with weight less than six and high percentage of weight-6, weight-7, and weight-8 error patterns.
In this paper, a classical decoder for the (89, 45, 17) binary quadratic residue code, the last one not decoded yet of length less than 100, is proposed. It was also verified for all error patterns within the error-correcting capacity of the code without checking all error patterns by computer simulations.
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