Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9497358 | Journal of Pure and Applied Algebra | 2005 | 36 Pages |
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 t in the variable corresponding to the error locations and its coefficients are polynomials in the syndromes.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Emmanuela Orsini, Massimiliano Sala,