Hermitian codes as generalized Reed-Solomon codes |
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| Authors: | Tomik Yaghoobian Ian F Blake |
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| Institution: | (1) Department of Electrical and Computer Engineering, University of Waterloo, N2L 3G1 Waterloo, Ontario, Canada |
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| Abstract: | Hermitian codes obtained from Hermitian curves are shown to be concatenated generalized Reed-Solomon codes. This interpretation of Hermitian codes is used to investigate their structure. An efficient encoding algorithm is given for Hermitian codes. A new general decoding algorithm is given and applied to Hermitian codes to give a decoding algorithm capable of decoding up to the full error correcting capability of the code.This work is supported by a Natural Science and Engineering Research Council Grant A7382. |
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