107 citations · 492 across the 34 of their papers we have counts for
6 papers · 2 filters
Feng-Rao decoding of primary codes
Olav Geil, Ryutaroh Matsumoto, Diego Ruano
We show that the Feng-Rao bound for dual codes and a similar bound by Andersen and Geil [H.E. Andersen and O. Geil, Evaluation codes from order domain theory, Finite Fields Appl.,…
Generalization of the Lee-O'Sullivan List Decoding for One-Point AG Codes
Ryutaroh Matsumoto, Diego Ruano, Olav Geil
We generalize the list decoding algorithm for Hermitian codes proposed by Lee and O'Sullivan based on Gröbner bases to general one-point AG codes, under an assumption weaker than o…
List Decoding Algorithm based on Voting in Groebner Bases for General One-Point AG Codes
Ryutaroh Matsumoto, Diego Ruano, Olav Geil
We generalize the unique decoding algorithm for one-point AG codes over the Miura-Kamiya Cab curves proposed by Lee, Bras-Amorós and O'Sullivan (2012) to general one-point AG codes…
List decoding of repeated codes
Fernando Hernando, Michael O'Sullivan, Diego Ruano
Assuming that we have a soft-decision list decoding algorithm of a linear code, a new hard-decision list decoding algorithm of its repeated code is proposed in this article. Althou…
List Decoding of Matrix-Product Codes from nested codes: an application to Quasi-Cyclic codes
Fernando Hernando, Tom Høholdt, Diego Ruano
A list decoding algorithm for matrix-product codes is provided when are nested linear codes and is a non-singular by columns matrix. We estimate the probability…
List Decoding Algorithms based on Groebner Bases for General One-Point AG Codes
Olav Geil, Ryutaroh Matsumoto, Diego Ruano
We generalize the list decoding algorithm for Hermitian codes proposed by Lee and O'Sullivan based on Gröbner bases to general one-point AG codes, under an assumption weaker than o…