[Resource Topic] 2016/851: A New Algorithm for the Unbalanced Meet-in-the-Middle Problem

Welcome to the resource topic for 2016/851

Title:
A New Algorithm for the Unbalanced Meet-in-the-Middle Problem

Authors: Ivica Nikolic, Yu Sasaki

Abstract:

A collision search for a pair of n-bit unbalanced functions (one is R times more expensive than the other) is an instance of the meet-in-the-middle problem, solved with the familiar standard algorithm that follows the tradeoff TM=N, where T and M are time and memory complexities and N=2^n. By combining two ideas, unbalanced interleaving and Oorschot-Wiener parallel collision search, we construct an alternative algorithm that follows T^2 M = R^2 N, where M\le R. Among others, the algorithm solves the well-known open problem: how to reduce the memory of unbalanced collision search.

ePrint: https://eprint.iacr.org/2016/851

Talk: https://www.youtube.com/watch?v=WPwQJHIlclY

Slides: https://iacr.org/cryptodb/archive/2016/ASIACRYPT/presentation/27879.pdf

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