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» A Fourier-Analytic Approach to Reed-Muller Decoding
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FOCS
2010
IEEE
13 years 2 months ago
A Fourier-Analytic Approach to Reed-Muller Decoding
Abstract. We present a Fourier-analytic approach to list-decoding Reed-Muller codes over arbitrary finite fields. We use this to show that quadratic forms over any field are locall...
Parikshit Gopalan
COCO
2010
Springer
139views Algorithms» more  COCO 2010»
13 years 8 months ago
On Matrix Rigidity and Locally Self-Correctable Codes
We describe a new approach for the problem of finding rigid matrices, as posed by Valiant [Val77], by connecting it to the, seemingly unrelated, problem of proving lower bounds f...
Zeev Dvir
IACR
2011
125views more  IACR 2011»
12 years 4 months ago
On Constructing Homomorphic Encryption Schemes from Coding Theory
Abstract. Homomorphic encryption schemes are powerful cryptographic primitives that allow for a variety of applications. Consequently, a variety of proposals have been made in the ...
Frederik Armknecht, Daniel Augot, Ludovic Perret, ...