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General Linear Group Action on Tensors: A Candidate for Post-Quantum Cryptography
Group actions isomorphism problems signature schemes
2019/6/12
Starting from the one-way group action framework of Brassard and Yung (Crypto '90), we revisit building cryptography based on group actions. Several previous candidates for one-way group actions no lo...
CSIDH: An Efficient Post-Quantum Commutative Group Action
post-quantum cryptography isogeny-based cryptography class group action
2018/5/2
We propose an efficient commutative group action suitable for non-interactive key exchange in a post-quantum setting. Our construction follows the layout of the Couveignes-Rostovtsev-Stolbunov cryptos...
The modular group action on real SL(2){characters of a one-holed torus
one-holed torus group action
2015/9/29
The
action of Γ preserves a Poisson structure de ning a Γ{invariant area form on each
−1(t)\ R3. For t < 2, the action of Γ is properly discontinuous on the four contractible components of &...
On an algebraic formula and applications to group action on manifolds
algebraic formula applications group action manifolds
2018/4/19
Inspired by a recent result of Cho-Kim-Park, we consider a purely algebraic result. Then given a circle or cyclic group of prime order action on a manifold, we will use it to estimate the lower bound ...