Information Sets of Multiplicity CodesReportar como inadecuado




Information Sets of Multiplicity Codes - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

* Corresponding author 1 GRACE - Geometry, arithmetic, algorithms, codes and encryption Inria Saclay - Ile de France 2 ENSTA ParisTech UMA - Unité de Mathématiques Appliquées

Abstract : We here provide a method for systematic encoding of the Multiplicity codes introduced by Kopparty, Saraf and Yekhanin in 2011. The construction is built on an idea of Kop-party. We properly define information sets for these codes and give detailed proofs of the validity of Kopparty-s construction, that use generating functions. We also give a complexity estimate of the associated encoding algorithm.

Keywords : information set Reed-Muller codes locally correctable codes Index Terms—Locally decodable codes Multiplicity codes





Autor: Daniel Augot - Françoise Levy-Dit-Vehel - Man Cuong Ngô -

Fuente: https://hal.archives-ouvertes.fr/



DESCARGAR PDF




Documentos relacionados