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Towards a Classification of Non-interactive Computational Assumptions in Cyclic Groups
Non-Interactive Assumptions Computational Assumptions Target Assumptions
2017/4/24
Our analysis identifies two families of intractability assumptions, the qq-Generalized Diffie-Hellman Exponent assumptions and the qq-Simple Fractional assumptions that imply all other target assumpti...
Trial multiplication is not optimal but... On the symmetry of finite cyclic groups (Z/pZ)∗
discrete logarithm problem finite cyclic groups
2016/1/23
The Discrete Logarithm Problem is at the base of the famous Diffie Hellman key agreement algorithm and many others. The key idea behind Diffie Helmann is the usage of the Discrete Logarithm function i...
Cyclic groups of automorphisms of complex K3 surfaces
Cyclic groups automorphisms complex K3 surfaces
2012/2/29
We determine all possible orders of automorphisms of complex K3 surfaces. A positive integer N is the order of an automorphism of a complex K3 surface if and only if \phi(N) \leq 20 and N is not 60, w...
Representations of cyclic groups in positive characteristic and Weierstrass semigroups
Automorphisms Curves Differentials Numerical Semigroups
2011/9/20
Abstract: We study the $k[G]$-module structure of the space of holomorphic differentials of a curve defined over an algebraically closed field of positive characteristic, for a cyclic group $G$ of ord...
Subgroup Distortion in Wreath Products of Cyclic Groups
Subgroup Distortion Wreath Products of Cyclic Groups
2010/12/10
We study the effects of subgroup distortion in the wreath products A wr Z, where A is finitely generated abelian. We show that every finitely generated subgroup of A wr Z has distortion function bound...
Homomorphic Encryption Over Cyclic Groups Implies Chosen-Ciphertext Security
Homomorphic Encryption Cyclic Groups Chosen-Ciphertext Security
2010/3/16
Chosen-Ciphertext (IND-CCA) security is generally considered the right notion of security
for a cryptosystem. Because of its central importance much e ort has been devoted to constructing
IND-CCA se...
Vacuum Solutions of Classical Gravity on Cyclic Groups from Noncommutative Geometry
non-unitary link variable Connes' distance formula vacuum solution
noncommutative geometry cyclic group
2007/8/15
2002Vol.37No.1pp.11-14DOI:
Vacuum Solutions of Classical Gravity on Cyclic Groups from Noncommutative Geometry
DAI Jian and SONG Xing-Chang
Institute of Theoretical Phys...