Modular multiplicative inverse:Modular multiplicative inverse. Keywords

Modular multiplicative inverse. Keywords

Modular multiplicative inverse. Keywords

2021年6月22日—Keywords:模反元素、費馬小定理、輾轉相除法.“Modularmultiplicativeinverse”ispublishedbyAaroninlearningnote.。其他文章還包含有:「ModularInverse」、「Modularinverses(article)」、「Modularmultiplicativeinverse」、「Modularmultiplicativeinverse」、「ModularMultiplicativeInverseCalculator」、「MultiplicativeInverse」、「MultiplicativeInverse」、「Whatismeantby"multiplicativeinversemodu...

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//複製用Python程式碼defext_euclid(a,b):s0,s1=1,0t0,t1=0,1r0,r1=a,bwhile(r1!=0):q=r0//r1r0,r1=r1,r0-q*r1s0,s1=s1,s0-q*s1t0,t1=t1,t0-q*t1returns0,t0,r0假設a,b為兩個整數,有gcd(a,b)=m,該算法可得另外兩個整數s和t且s*a+t*b=m若a,b互質,s即為整數a對b的模反元素。其證明的方式很暴力,如下圖,將輾轉相除法(歐幾里得算法)的過程展開,統整出s,t,r的疊代歷程。

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Modular Inverse
Modular Inverse

https://cp-algorithms.com

It can be proven that the modular inverse exists if and only if $a$ and $m$ are relatively prime (i.e. $-gcd(a, m) = 1$ ). In this article, we ...

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Modular inverses (article)
Modular inverses (article)

https://www.khanacademy.org

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 ...

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Modular multiplicative inverse
Modular multiplicative inverse

https://en.wikipedia.org

In mathematics, particularly in the area of arithmetic, a modular multiplicative inverse of an integer a is an integer x such that the product ax is ...

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Modular multiplicative inverse
Modular multiplicative inverse

https://www.extendedeuclideana

Answer ... When we use multiplication (×) as operation (e.g. 2×3), then the inverse of a number (relative to multiplication) is called the multiplicative inverse.

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Modular Multiplicative Inverse Calculator
Modular Multiplicative Inverse Calculator

https://planetcalc.com

Modular Multiplicative Inverse Calculator. This inverse modulo calculator calculates the modular multiplicative inverse of a given integer a modulo m.

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Multiplicative Inverse
Multiplicative Inverse

https://www.youtube.com

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Multiplicative Inverse
Multiplicative Inverse

https://www.sciencedirect.com

The integer b is called the multiplicative inverse of a which is denoted as b = a−1. Modular inversion is a well-defined operation for any finitering or field, ...

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What is meant by "multiplicative inverse modulo n"?
What is meant by "multiplicative inverse modulo n"?

https://math.stackexchange.com

Let a and n be integers. A multiplicative inverse of a modulo n is an integer b such that ab=1modn. One can wonder when this exists.

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