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» Optimal Testing of Reed-Muller Codes
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FOCS
2010
IEEE
13 years 6 months ago
Optimal Testing of Reed-Muller Codes
Arnab Bhattacharyya, Swastik Kopparty, Grant Schoe...
FOCS
2010
IEEE
13 years 6 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
ECCC
2010
91views more  ECCC 2010»
13 years 8 months ago
Limits on the rate of locally testable affine-invariant codes
A linear code is said to be affine-invariant if the coordinates of the code can be viewed as a vector space and the code is invariant under an affine transformation of the coordin...
Eli Ben-Sasson, Madhu Sudan
FOCS
2004
IEEE
14 years 7 days ago
Testing Low-Degree Polynomials over Prime Fields
We present an efficient randomized algorithm to test if a given function f : Fn p Fp (where p is a prime) is a low-degree polynomial. This gives a local test for Generalized Reed...
Charanjit S. Jutla, Anindya C. Patthak, Atri Rudra...
DSD
2002
IEEE
95views Hardware» more  DSD 2002»
14 years 1 months ago
Decision Diagram Optimization Using Copy Properties
In this paper, we propose an approach to the reduction of sizes of Multi-Terminal Binary Decision Diagrams (MTBDDs) [3] by using the copy properties of discrete functions. The und...
Dragan Jankovic, Radomir S. Stankovic, Rolf Drechs...