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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 ...