Search for a tool
Modular Multiplicative Inverse

Tool to compute the modular inverse of a number. The modular multiplicative inverse of an integer N modulo m is an integer n such as the inverse of N modulo m equals n.

Results

Modular Multiplicative Inverse -

Tag(s) : Mathematics,Arithmetics

dCode and you

dCode is free and its tools are a valuable help in games, puzzles and problems to solve every day!
You have a problem, an idea for a project, a specific need and dCode can not (yet) help you? You need custom development? Contact-me!


Team dCode read all messages and answer them if you leave an email (not published). It is thanks to you that dCode has the best Modular Multiplicative Inverse tool. Thank you.

This page is using the new English version of dCode, please make comments !

Modular Multiplicative Inverse

Sponsored ads

This script has been updated, please report any problems.

Modular Inverse Calculator



Tool to compute the modular inverse of a number. The modular multiplicative inverse of an integer N modulo m is an integer n such as the inverse of N modulo m equals n.

Answers to Questions

What is the modular Inverse?

The value of the inverse modular of \( a \) by the modulus \( n \) is the value \( u \) such as $$ u \equiv a^{-1} \pmod n \\ a u \equiv 1 \pmod n $$

How to calculate a modular inverse?

To calculate the value of the modular inverse, you can use the extended euclide algorithm which find solutions to the identity of Bezout \( au + bv = \text{G.C.D.}(a, b) \) except that here \( \text{G.C.D.}(a, b) = 1 \) and you only look for \( u \).

\( 3^-1 \equiv 4 \mod 11 \) because \( 4 \times 3 = 12 \) and \( 12 \equiv 1 \mod 11 \)

dCode uses the Extended Euclidian algorithm and arbitrary precision functions to get resulsts with bg integers.

How to calculate v?

You can use the Bezout algorithmhref, also available on dCode.

What does invmod mean?

The keyword invmod is the abbreviation of inverse modular.

Ask a new question

Source code

dCode retains ownership of the source code of the script Modular Multiplicative Inverse. Except explicit open source licence (free / freeware), any algorithm, applet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any snippet or function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in PHP (or Java, C#, Python, Javascript, etc.) which dCode owns rights can be transferred after sales quote. So if you need to download the Modular Multiplicative Inverse script for offline use, for you, your company or association, see you on contact page !

Questions / Comments


Team dCode read all messages and answer them if you leave an email (not published). It is thanks to you that dCode has the best Modular Multiplicative Inverse tool. Thank you.


Source : http://www.dcode.fr/modular-inverse
© 2017 dCode — The ultimate 'toolkit' website to solve every problem. dCode