This is a text-only version of the following page on https://raymii.org:
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Title : Diffie Hellman Key Exchange Dutch Notes and Example
Author : Remy van Elst
Date : 28-07-2013
URL : https://raymii.org/s/articles/Diffie-Hellman-Key-Exchange-Dutch-Notes.html
Format : Markdown/HTML
---
_This is a Dutch article on a Diffie Hellman Key Exchange, including an example.
I wrote this to better understand the Diffie Hellman Key Exchange._
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* * *
Notities Diffie Hellman Key Exchange
Alice & Bob kiezen een priemgetal P en een getal N. Deze zijn publiek.
Alice kiest een getal A (Prive)
Bob kiest een getal B (Prive)
A & B delen geen factoren met P.
* * *
Alice berekent J = N^A (modulo P)
Bob berekent K = N^B (modulo P)
* * *
Alice stuurt J naar Bob (Publiek)
Bob stuurt K naar Alice (Publiek)
* * *
Alice berekent K^A (modulo P)
Bob berekent J^B (modulo P)
Deze 2 getallen zijn hetzelfde en kunnen worden gebruikt als sleutel of om een
symmetrische sleutel te versleutelen.
* * *
Voorbeeld:
P = 127
N = 23
A = 34
B = 16
J = N^A (mod P)
23^34 = 19895113660064588580108197261066338165074766609
19895113660064588580108197261066338165074766609 (mod 127) = 115
J = 115
K = N^B (mod P)
23^16 = 6132610415680998648961
6132610415680998648961 (mod 127) = 31
K = 31
Geheim A = K^A (mod P)
31^34 = 508507766528375922442969666478706045897328683433921
508507766528375922442969666478706045897328683433921 (mod 127) = 120
Geheim A = 120
Geheim B = J^B (mod P)
115^16 = 935762087353668006738433837890625
935762087353668006738433837890625 (mod 127) = 120
Geheim B = 120
Geheim A == Geheim B
[Help][2]
[1]: https://www.digitalocean.com/?refcode=7435ae6b8212
[2]: http://www.math.cornell.edu/%7Emec/2003-2004/cryptography/diffiehellman/diffiehellman.html
---
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