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Suppose
p is an odd prime,
ord(a) = p-1
GCD(x, p) = 1
N is an integer >= 2
Then
y = logmod(x, a, p, N)
Returns y such that a^y = x (mod p^N)
Example
Let x= vpi(154), a = vpi(7), p = vpi(17), N = vpi(37)
y = logmod(x, a, p, N)
returns
y = 2088349219044680767324467844670001776975183904
Cite As
Steven Gregory (2026). logmod (https://se.mathworks.com/matlabcentral/fileexchange/23803-logmod), MATLAB Central File Exchange. Retrieved .
General Information
- Version 1.4.0.0 (22.6 KB)
MATLAB Release Compatibility
- Compatible with any release
Platform Compatibility
- Windows
- macOS
- Linux
| Version | Published | Release Notes | Action |
|---|---|---|---|
| 1.4.0.0 | Brought the description up to date. This routine no longer needs the m-file modinv.m. |
||
| 1.3.0.0 | Modified to correct logic errors and to exploit the latest version of the vpi software. A Microsoft word file has been included that describes and proves the algorithm used. |
||
| 1.2.0.0 | Rewrote the description. |
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| 1.0.0.0 |
