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Electronic Colloquium on Computational Complexity

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All reports by Author Ron Rothblum:

TR18-161 | 13th September 2018
Justin Holmgren, Ron Rothblum

Delegating Computations with (almost) Minimal Time and Space Overhead

The problem of verifiable delegation of computation considers a setting in which a client wishes to outsource an expensive computation to a powerful, but untrusted, server. Since the client does not trust the server, we would like the server to certify the correctness of the result. Delegation has emerged as ... more >>>

TR18-022 | 1st February 2018
Omer Reingold, Guy Rothblum, Ron Rothblum

Efficient Batch Verification for UP

Consider a setting in which a prover wants to convince a verifier of the correctness of k NP statements. For example, the prover wants to convince the verifier that k given integers N_1,...,N_k are all RSA moduli (i.e., products of equal length primes). Clearly this problem can be solved by ... more >>>

TR17-172 | 3rd November 2017
Itay Berman, Akshay Degwekar, Ron Rothblum, Prashant Nalini Vasudevan

From Laconic Zero-Knowledge to Public-Key Cryptography

Since its inception, public-key encryption (PKE) has been one of the main cornerstones of cryptography. A central goal in cryptographic research is to understand the foundations of public-key encryption and in particular, base its existence on a natural and generic complexity-theoretic assumption. An intriguing candidate for such an assumption is ... more >>>

TR17-143 | 26th September 2017
Tom Gur, Govind Ramnarayan, Ron Rothblum

Relaxed Locally Correctable Codes

Revisions: 1

Locally decodable codes (LDCs) and locally correctable codes (LCCs) are error-correcting codes in which individual bits of the message and codeword, respectively, can be recovered by querying only few bits from a noisy codeword. These codes have found numerous applications both in theory and in practice.

A natural relaxation of ... more >>>

TR17-097 | 31st May 2017
Itay Berman, Akshay Degwekar, Ron Rothblum, Prashant Nalini Vasudevan

Multi Collision Resistant Hash Functions and their Applications

Revisions: 1

Collision resistant hash functions are functions that shrink their input, but for which it is computationally infeasible to find a collision, namely two strings that hash to the same value (although collisions are abundant).

In this work we study multi-collision resistant hash functions (MCRH) a natural relaxation of collision resistant ... more >>>

TR16-061 | 17th April 2016
Omer Reingold, Ron Rothblum, Guy Rothblum

Constant-Round Interactive Proofs for Delegating Computation

Revisions: 1

The celebrated IP=PSPACE Theorem [LFKN92,Shamir92] allows an all-powerful but untrusted prover to convince a polynomial-time verifier of the validity of extremely complicated statements (as long as they can be evaluated using polynomial space). The interactive proof system designed for this purpose requires a polynomial number of communication rounds and an ... more >>>

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