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» On the Hardness of Decoding the Gale-Berlekamp Code
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FOCS
2003
IEEE
15 years 5 months ago
Proving Hard-Core Predicates Using List Decoding
We introduce a unifying framework for proving that predicate P is hard-core for a one-way function f, and apply it to a broad family of functions and predicates, reproving old res...
Adi Akavia, Shafi Goldwasser, Shmuel Safra
TIT
2008
164views more  TIT 2008»
14 years 11 months ago
Cryptographic Hardness Based on the Decoding of Reed-Solomon Codes
We investigate the decoding problem of Reed-Solomon (RS) Codes, also known as the Polynomial Reconstruction Problem (PR), from a cryptographic hardness perspective. Namely, we dea...
Aggelos Kiayias, Moti Yung
87
Voted
ECCC
2006
116views more  ECCC 2006»
14 years 11 months ago
Uniform Hardness Amplification in NP via Monotone Codes
We consider the problem of amplifying uniform average-case hardness of languages in NP, where hardness is with respect to BPP algorithms. We introduce the notion of monotone error...
Joshua Buresh-Oppenheim, Valentine Kabanets, Rahul...
94
Voted
CORR
2008
Springer
117views Education» more  CORR 2008»
14 years 10 months ago
Complexity of Decoding Positive-Rate Reed-Solomon Codes
Abstract. The complexity of maximum likelihood decoding of the ReedSolomon codes [q -1, k]q is a well known open problem. The only known result [4] in this direction states that it...
Qi Cheng, Daqing Wan
76
Voted
FOCS
2006
IEEE
15 years 5 months ago
Approximately List-Decoding Direct Product Codes and Uniform Hardness Amplification
Russell Impagliazzo, Ragesh Jaiswal, Valentine Kab...