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Generic Hardness of Inversion on Ring and Its Relation to Self-Bilinear Map
MCDH unbalanced modulus
2018/5/22
In this paper, we study the generic hardness of the inversion problem on a ring, which is a problem to compute the inverse of a given prime cc by just using additions, subtractions and multiplications...
Generic Hardness of the Multiple Discrete Logarithm Problem
multiple discrete logarithm search-by-hyperplane-queries generic group model
2016/1/7
We study generic hardness of the multiple discrete logarithm problem, where the
solver has to solve n instances of the discrete logarithm problem simultaneously. There are
known generic algorithms w...
The Generic Hardness of Subset Membership Problems under the Factoring Assumption
Cryptographic assumptions subset membership quadratic residuosity
2009/6/10
We analyze a large class of subset membership problems related to integer factorization. We
show that there is no algorithm solving these problems eciently without exploiting properties of the
give...