[Resource Topic] 2008/108: New Differential-Algebraic Attacks and Reparametrization of Rainbow

Welcome to the resource topic for 2008/108

Title:
New Differential-Algebraic Attacks and Reparametrization of Rainbow

Authors: Jintai Ding, Bo-Yin Yang, Owen Chen, Ming-Shing Chen, Doug Cheng

Abstract:

A recently proposed class of multivariate quadratic schemes, the Rainbow-Like signature Schemes, in which successive sets of central variables are obtained from previous ones by solving linear equations, seem to lead to efficient schemes (TTS, TRMS, and Rainbow) that perform well on systems of low computational resources. Recently SFLASH (C^{\ast-}) was broken by Dubois, Fouque, Shamir, and Stern via a differential attack. In this paper, we exhibit similar attacks based on differentials, that will reduce published Rainbow-like schemes below their security levels. We will present a new type of construction of Rainbow-Like schemes and design signature schemes with new parameters for practical applications.

ePrint: https://eprint.iacr.org/2008/108

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