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modular multiplicative inverse
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模反元素 (Modular multiplicative inverse)

简介

模反元素也稱為模倒數,或者模反元素。 一整數a對同餘n之模反元素是指滿足以下公式的整數 b a^{{-1}}\equiv b{\pmod {n}}. 也可以寫成以下的式子 ab\equiv 1{\pmod {n}}. 或者 ab=1 维基百科
A modular multiplicative inverse of a modulo m can be found by using the extended Euclidean algorithm. The Euclidean algorithm determines the greatest common ...
2021年8月23日 — Given two integers 'a' and 'm', find modular multiplicative inverse of 'a' under modulo 'm'. The modular multiplicative inverse is an integer 'x ...

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The modular inverse of A (mod C) is A^-1 · (A * A^-1) ≡ 1 (mod C) or equivalently (A * A^-1) mod C = 1 · Only the numbers coprime to C (numbers that share no ...
A modular multiplicative inverse of an integer a is an integer x such that a⋅x is congruent to 1 modular some modulus m. To write it in a formal way: we ...
The multiplicative inverse of a modulo m exists if and only if a and m are coprime (i.e., if gcd(a, m) = 1). If the modular multiplicative inverse of a modulo m ...
作者:M Bufalo2021 — Keywords: extended-Euclid algorithm; RSA algorithm; modular multiplicative inverse; public- key cryptography. MSC: 11T71; 11Y16; 11Y05.
Euclid probably wasn't thinking about finding multiplicative inverses in modular arithmetic, but it turns out that if you look at his algorithm in reverse, ...
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called the multiplicative inverse of x modulo m. In our present setting of modular arithmetic, can we be sure that x has an inverse mod m, and if so, ...
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