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Optimal Succinct Arguments via Hidden Order Groups
zero knowledge RSA
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2018/8/2
An argument of knowledge allows a prover to convince a verifier of the validity of certain statements. We construct succinct arguments of knowledge with an optimal communication complexity of O(λ) bit...
Theory of Valley-Density Wave and Hidden Order in Iron-Pnictides
Theory of Valley-Density Wave Iron-Pnictides
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2010/11/19
In the limit of perfect nesting, the physics of iron-pnictides is governed by the density wave
formation at the zone-edge vector M. At high energies, various spin- (SDW), charge- (CDW),
orbital/pock...
Hybridization wave as the 'Hidden Order' in URu$_2$Si$_2$
Hybridization wave URu$_2$Si$_2$
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2010/11/25
A phenomenological model for the ’hidden order’ transition in the heavy Fermion material
URu2Si2 is introduced. The ’hidden order’ is identified as an incommensurate, momentum-carrying hybridization ...
A New Cryptosystem Based On Hidden Order Groups
Cryptosystem Hidden Order Groups
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2008/11/24
Let G1 be a cyclic multiplicative group of order n. It is known that the Diffie-Hellman problem
is random self-reducible in G1 with respect to a fixed generator g if (n) is known. That is, given g, ...