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In this paper, an improved method on soft-decoding of the (24, 12, 8) Golay code is developed to decode four errors. The method proposed in needs a very huge lookup table consists of 245157 code words to find out the five possible four errors. This proposed method uses a refined four-error lookup table consists of only 8855 syndromes and their corresponding error patterns to find out the five possible...
In this paper, a weight method with using a reduced lookup table is developed to decode the three possible errors in (15, 5, 7) and (31, 16, 7) BCH code. The data in the reduced lookup table consists of syndrome patterns and corresponding error patterns which only have one and two errors occurred in the message block of the received codeword. The proposed algorithm makes use of the properties of cyclic...
In this paper, a weight method with using a reduced lookup table is developed to decode the three possible errors in (23, 12, 7) Golay code. The reduced lookup table consists of syndrome patterns and corresponding error patterns which only have one and two errors occurred in the message block of the received codeword. The useful proposed algorithm makes use of the properties of cyclic codes, weight...
In this paper, a memory-efficient method for decoding the ternary (24, 15, 5) cyclic code is presented. The decoding method is based on the syndrome properties of error patterns of the binary cyclic code. Comparing this error pattern table with the traditional error pattern table, this algorithm can reduce a lot of memory usage. The decoding algorithm is efficient, easy to carry out, and can be utilized...
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