Computational complexity of modular exponentiation by Ciro Santilli 35 Updated 2025-01-06 +Created 1970-01-01
math.stackexchange.com/questions/2382011/computational-complexity-of-modular-exponentiation-from-rosens-discrete-mathem mentions:can be calculated in:Remember that and are the lengths in bits of and , so in terms of the length in bits and we'd get:
Compared to Waring's problem, this is potentially much harder, as we can go infinitely negative in our attempts, there isn't a bound on how many tries we can have for each number.
In other words, it is unlikely to have a Conjecture reduction to a halting problem.
And when it can't, attempt to classify which subset of the integers can be reached. E.g. Legendre's three-square theorem.
The elliptic curve group of an elliptic curve is a group in which the elements of the group are points on an elliptic curve.
The group operation is called elliptic curve point addition.
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