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02/06/2023
Uniform Cyclic Group Factorizations of Finite Groups
In this paper, we introduce a kind of decomposition of a finite group ca...
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09/05/2022
Private Simultaneous Messages Based on Quadratic Residues
Private Simultaneous Messages (PSM) model is a minimal model for secure ...
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08/04/2022
On Compression Functions over Small Groups with Applications to Cryptography
In the area of cryptography, fully homomorphic encryption (FHE) enables ...
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07/13/2021
An Improvement of a Key Exchange Protocol Relying on Polynomial Maps
Akiyama et al. (Int. J. Math. Indust., 2019) proposed a post-quantum key...
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05/31/2021
Halt Properties and Complexity Evaluations for Optimal DeepLLL Algorithm Families
DeepLLL algorithm (Schnorr, 1994) is a famous variant of LLL lattice bas...
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08/13/2020
An Elementary Linear-Algebraic Proof without Heavy Computation for the Group Law on Elliptic Curves
The group structure on the rational points of elliptic curves plays seve...
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07/08/2019