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
引用
Steven Gregory (2024). logmod (https://www.mathworks.com/matlabcentral/fileexchange/23803-logmod), MATLAB Central File Exchange. 取得済み .
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Start Hunting!バージョン | 公開済み | リリース ノート | |
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1.4.0.0 | Brought the description up to date. This routine no longer needs the m-file modinv.m. |
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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. |
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1.2.0.0 | Rewrote the description. |
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1.0.0.0 |