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» On the Hardness of Decoding the Gale-Berlekamp Code
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FOCS
2003
IEEE
13 years 10 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»
13 years 5 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
ECCC
2006
116views more  ECCC 2006»
13 years 5 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...
CORR
2008
Springer
117views Education» more  CORR 2008»
13 years 4 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