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FOCS
2010
IEEE
13 years 5 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
INFOCOM
2000
IEEE
14 years 19 hour ago
Broadcast Disks with Polynomial Cost Functions
— In broadcast disk systems, information is broadcasted in a shared medium. When a client needs an item from the disk, it waits until that item is broadcasted. The fundamental al...
Amotz Bar-Noy, Boaz Patt-Shamir, Igor Ziper
ICISC
1998
110views Cryptology» more  ICISC 1998»
13 years 9 months ago
The nonhomomorphicity of S-boxes
Abstract. In this paper, we introduce the concept of kth-order nonhomomorphicity of mappings or S-boxes as an alternative indicator that forecasts nonlinearity characteristics of a...
Yuliang Zheng, Xian-Mo Zhang
STOC
2010
ACM
200views Algorithms» more  STOC 2010»
14 years 5 months ago
Hardness Amplification in Proof Complexity
We present a generic method for converting any family of unsatisfiable CNF formulas that require large resolution rank into CNF formulas whose refutation requires large rank for p...
Paul Beame, Trinh Huynh and Toniann Pitassi
COCO
2008
Springer
146views Algorithms» more  COCO 2008»
13 years 9 months ago
A Direct Product Theorem for Discrepancy
Discrepancy is a versatile bound in communication complexity which can be used to show lower bounds in the distributional, randomized, quantum, and even unbounded error models of ...
Troy Lee, Adi Shraibman, Robert Spalek