Browsing by Subject "Berlekamp-Massey-Sakata algorithm"
Now showing 1 - 1 of 1
Results Per Page
Sort Options
- PublicationOpen AccessA new approach to the Berlekamp-Massey-Sakata Algorithm. Improving Locator Decoding(IEEE, 2021) Bernal Buitrago, José Joaquín; Simón Pinero, Juan Jacobo; MatemáticasWe study the problem of the computation of Groebner basis for the ideal of linear recurring relations of a doubly periodic array. We find a set of indexes such that, along with some conditions, guarantees that the set of polynomials obtained at the last iteration in the Berlekamp-Massey-Sakata algorithm is exactly a Groebner basis for the mentioned ideal. Then, we apply these results to improve locator decoding in abelian codes.