Modular Exponentiation

Version 1.2.0.0 (32.1 KB) by Michael Chan
y = x^e mod n
2.0
(1)
483 Downloads
Updated 23 Jul 2014

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main executing reference usage:
usage_modularExponentiation : Example not using binary exponent
usage_modularExponentiation_binaryExponent : Example using binary exponent
fast_ToyBinaryExponentiation_Example : Miscellaneous stand-alone sample runs
modularExponentiation_binaryExponent_typeI : right to left
modularExponentiation_binaryExponent_typeIIA : left to right
modularExponentiation_binaryExponent_typeIIB : left to right
modularExponentiation_binaryExponent_ML_typeII : left to right (Montgomery Ladder)
modularExponentiation_binaryExponent_ML_typeI : right to left (Montgomery Ladder)
modularExponentiation_binaryExponent_Quaternary : right to left (Quaternary method: scanning the bits of e, 2 at a time)
modularExponentiation_binaryExponent_Octal : right to left (Octal method: scanning the bits of e, 3 at a time)
modularExponentiation_binaryExponent_slidingWindow: Constant length nonzero Windows
This demo gives an insight to computing y = x^e mod n.

Caveat: For reference purposes.

Cite As

Michael Chan (2024). Modular Exponentiation (https://www.mathworks.com/matlabcentral/fileexchange/47083-modular-exponentiation), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2013b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Version Published Release Notes
1.2.0.0

Added Sliding Window Method (Constant length non zero windows)
1.1.0.0

Added Montgomery Ladder, Quaternary method, and Octal method.
1.0.0.0