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arXiv · 1505.07547

Some remarks on multiplicity codes

Swastik Kopparty
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Abstract

Multiplicity codes are algebraic error-correcting codes generalizing classical polynomial evaluation codes, and are based on evaluating polynomials and their derivatives. This small augmentation confers upon them better local decoding, list-decoding and local list-decoding algorithms than their classical counterparts. We survey what is known about these codes, present some variations and improvements, and finally list some interesting open problems.

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Swastik Kopparty. 2015-05-28. Some remarks on multiplicity codes. https://arxiv.org/abs/1505.07547

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