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1. Correcting errors and erasures via the syndrome variety

Author

Orsini, Emmanuela and Sala, Massimiliano

Subjects
*POLYNOMIALS, *ALGEBRA, *DIFFERENTIAL equations, *ALGEBRAIC fields
Abstract

Abstract: We propose a new syndrome variety, which can be used to decode cyclic codes. We present also a generalization to erasure and error decoding. We can exhibit a polynomial whose roots give the error locations, once it has been specialized to a given syndrome. This polynomial has degree in the variable corresponding to the error locations and its coefficients are polynomials in the syndromes. [Copyright &y& Elsevier]

Published
2005
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