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A Quantum “Magic Box'' for the Discrete Logarithm Problem
discrete logarithm problem elliptic curve cryptosystem quantum cryptanalysis
2017/8/10
In their foundational paper on pseudorandom bit generation, Blum and Micali showed that the discrete logarithm problem could be solved efficiently given a ``magic box'' oracle that computes the most s...
Magic Adversaries Versus Individual Reduction: Science Wins Either Way
universal reduction individual reduction black-box separations
2016/12/7
As the main technical contribution, we introduce a dissection procedure for concurrent adversaries, which enables us to show that, if there is a magic concurrent adversary that breaks the ϵe...
We introduce the notion of an Extremely Lossy Function (ELF). An ELF is a family of
functions with an image size that is tunable anywhere from injective to having a polynomial-sized
image. Moreover,...
New Magic Square Problems and Their Applications in Cryptology
magic square unfinished magic square modular arithmetic shuffling permutation authentication
2010/12/22
Magic square is a complex and hard permutation problem of combinatorial mathematics with a long history, previous research work primarily focuses on how to construct some magic squares with special ma...