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Informally, an algorithm is a set of explicit instructions used to solve a problem (e.g. Euclid's algorithm for computing the greatest common divisor of two integers). For more specific questions on algorithms, this tag may be used in conjunction with the approximation-algorithms, algorithmic-randomness and algorithmic-topology tags.
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Fastest algorithm to compute (a^(2^N))%m?
There are well-known algorithms for cryptography to compute modular exponentiation $a^b\%c$ (like Right-to-left binary method here : http://en.wikipedia.org/wiki/Modular_exponentiation). … But do algorithms exist to compute modular exponentiation of the form $a^{\left(2^N\right)}\%m$ faster than with "classical" algorithms ?
Thank you very much ! …