Hardness Amplification Proofs Require Majority

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Proofs of Retrievability via Hardness Amplification

Proofs of Retrievability (PoR), introduced by Juels and Kaliski [JK07], allow the client to store a file F on an untrusted server, and later run an efficient audit protocol in which the server proves that it (still) possesses the client’s data. Constructions of PoR schemes attempt to minimize the client and server storage, the communication complexity of an audit, and even the number of file-bl...

متن کامل

Lecture 3: Hardness Amplification

Remark 1. One may wonder why Impagliazzo’s hard core lemma (see the previous lecture for the lemma statement) is not enough to get a 12 −2 −δn-hard function starting with a 2−δn-hard function. The difficulty lies in the fact that the hard core lemma only tells about the existence of a hard core set such that on that set f is 1 2 − 2 −δn -hard. We do not know how to sample from that hard core se...

متن کامل

Extractors Using Hardness Amplification

Zimand [24] presented simple constructions of locally computable strong extractors whose analysis relies on the direct product theorem for one-way functions and on the Blum-Micali-Yao generator. For N -bit sources of entropy γN , his extractor has seed O(logN) and extracts N random bits. We show that his construction can be analyzed based solely on the direct product theorem for general functio...

متن کامل

Security Preserving Amplification of Hardness

We consider the task of transforming a weak one-way function (which may be easily inverted on all but a polynomial fraction of the range) into a strong one-way function (which can be easily inverted only on a negligible fraction of the range). The previous known transformation [Yao 82] does not preserve the security (i.e., the running-time of the inverting algorithm) within any polynomial. Its ...

متن کامل

Deterministic Hardness Amplification via Local GMD Decoding

We study the average-case hardness of the class NP against deterministic polynomial time algorithms. We prove that there exists some constant μ > 0 such that if there is some language in NP for which no deterministic polynomial time algorithm can decide L correctly on a 1 − (log n)−μ fraction of inputs of length n, then there is a language L′ in NP for which no deterministic polynomial time alg...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: SIAM Journal on Computing

سال: 2010

ISSN: 0097-5397,1095-7111

DOI: 10.1137/080735096