On algebraic decoding of the Z4-linearCalderbank-McGuire code |
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| Authors: | Chunming Rong Helleseth T. Lahtonen J. |
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| Affiliation: | Dept. of Inf., Bergen Univ.; |
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| Abstract: | The quaternary Calderbank-McGuire (see Des., Codes Cryptogr., vol.10, no.2, 1997) code is a Z4-linear code of length 32 which has 237 codewords and a minimum Lee distance of 12. The Gray map of this code is known to be a nonlinear binary (64, 237,12) code. The Z4-linear Calderbank-McGuire code can correct all errors with Lee weight ⩽5. An algebraic decoding algorithm for the code is presented in this paper. Furthermore, we discuss an alternative decoding method which takes advantage of the efficient BCH decoding algorithm |
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