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arXiv · 1509.00279

Information Sets of Multiplicity Codes

Daniel Augot·Françoise Levy-Dit-Vehel·Man Cuong Ngô
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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.

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Daniel Augot, Françoise Levy-Dit-Vehel, Man Cuong Ngô. 2015-09-01. Information Sets of Multiplicity Codes. https://arxiv.org/abs/1509.00279

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