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TFHE: Fast Fully Homomorphic Encryption over the Torus
Fully Homomorphic Encryption Bootstrapping Lattices
2018/5/11
This work describes a fast fully homomorphic encryption scheme over the torus (TFHE), that revisits, generalizes and improves the fully homomorphic encryption (FHE) based on GSW and its ring variants....
Torus-based compression by factor 4 and 6
Cyclotomic subgroups torus-based compression exponentiation
2010/10/20
We extend the torus-based compression technique for cyclotomic subgroups and show how the elements of certain subgroups in characteristic two and three fields can be compressed by a factor of 4 and 6,...
We introduce cryptography based on algebraic tori, give a new public
key system called CEILIDH, and compare it to other discrete log based systems
including LUC and XTR. Like those systems, we obtai...
PRIME ORDER PRIMITIVE SUBGROUPS IN TORUS-BASED CRYPTOGRAPHY
finite field primitive subgroup torus-based cryptography
2009/1/7
We use the Bateman-Horn conjecture to study the order of the set
of Fq-rational points of primitive subgroups that arise in torus-based cryptog-
raphy. We provide computational evidence to support ...