ITSep 1, 2015
Information Sets of Multiplicity CodesDaniel Augot, Françoise Levy-Dit-Vehel, Man Cuong Ngô
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.