Journal article
Sudan-decoding generalized geometric Goppa codes
Generalized geometric Goppa codes are vector spaces of n-tuples with entries from different extension fields of a ground field. They are derived from evaluating functions similar to conventional geometric Goppa codes, but allowing evaluation in places of arbitrary degree. A decoding scheme for these codes based on Sudan's improved algorithm is presented and its error-correcting capacity is analyzed.
For the implementation of the algorithm it is necessary that the so-called increasing zero bases of certain spaces of functions are available. A method to obtain such bases is developed.
Language: | English |
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Year: | 2003 |
Pages: | 267-285 |
ISSN: | 10715797 and 10902465 |
Types: | Journal article |
DOI: | 10.1016/S1071-5797(02)00017-5 |