Modular exponentiation is exponentiation performed over a modulus. It is useful in computer science, especially in the field of public-key cryptography...
21 KB (2,802 words) - 00:03, 24 March 2024
Algorithm (IDEA), and RC4. RSA and Diffie–Hellman use modular exponentiation. In computer algebra, modular arithmetic is commonly used to limit the size of...
29 KB (3,589 words) - 22:14, 12 July 2024
square-and-multiply algorithms or binary exponentiation. These can be of quite general use, for example in modular arithmetic or powering of matrices. For...
21 KB (3,379 words) - 09:03, 14 June 2024
In mathematics, exponentiation is an operation involving two numbers: the base and the exponent or power. Exponentiation is written as bn, where b is the...
104 KB (13,629 words) - 19:45, 18 July 2024
is known. The relative cost of exponentiation. Though it can be implemented more efficiently using modular exponentiation, when large values of m are involved...
24 KB (3,639 words) - 06:47, 26 January 2024
U 2 j {\displaystyle U^{2^{j}}} . This can be accomplished via modular exponentiation, which is the slowest part of the algorithm. The gate thus defined...
40 KB (5,871 words) - 19:41, 17 July 2024
discrete logarithm problem. The computation of ga mod p is known as modular exponentiation and can be done efficiently even for large numbers. Note that g...
47 KB (5,161 words) - 07:11, 6 June 2024
However, when performing many multiplications in a row, as in modular exponentiation, intermediate results can be left in Montgomery form. Then the initial...
28 KB (3,847 words) - 07:52, 4 May 2024
2 {\displaystyle 2} through p − 2 {\displaystyle p-2} and uses modular exponentiation to check whether a ( p − 1 ) / 2 ± 1 {\displaystyle a^{(p-1)/2}\pm...
116 KB (14,095 words) - 16:00, 23 June 2024
Standard for digital signatures, based on the mathematical concept of modular exponentiation and the discrete logarithm problem. In a public-key cryptosystem...
16 KB (2,176 words) - 18:31, 15 June 2024