Exponentiation by squares

The method of the exponentiation by Carré S consists of that: one wishes to calculate $\{a^b\}\; MOD$ N

The basic method consists in calculating $\{a^b\}$ in a direct way. This requires a too important computing power.

The method consists in breaking up B on basis 2.

Thus one calculation the $\{a^\; \{2k\}\}$ then one finds $\{a^b\}$ by summoning the $\{a^\; \{2k\}\}$ resulting from the decomposition of B on basis 2. This method allows a reduction in the complexity of B towards Log (b).

Random links:

Lake Fagnano | Sennevoy-le-Haut | Graph of scene | Norwegian Communist party | Microserfs | Goff

© 2007-2008 speedlook.com; article text available under the terms of GFDL, from fr.wikipedia.org