This is a text-only version of the following page on https://raymii.org:
---
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._
Consider sponsoring me on Github. It means the world to me if you show your appreciation and you'll help pay the server costs.

You can also sponsor me by getting a Digital Ocean VPS. With this referral link you'll get $100 credit for 60 days.

* * *
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
---
License:
All the text on this website is free as in freedom unless stated otherwise.
This means you can use it in any way you want, you can copy it, change it
the way you like and republish it, as long as you release the (modified)
content under the same license to give others the same freedoms you've got
and place my name and a link to this site with the article as source.
This site uses Google Analytics for statistics and Google Adwords for
advertisements. You are tracked and Google knows everything about you.
Use an adblocker like ublock-origin if you don't want it.
All the code on this website is licensed under the GNU GPL v3 license
unless already licensed under a license which does not allows this form
of licensing or if another license is stated on that page / in that software:
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see .
Just to be clear, the information on this website is for meant for educational
purposes and you use it at your own risk. I do not take responsibility if you
screw something up. Use common sense, do not 'rm -rf /' as root for example.
If you have any questions then do not hesitate to contact me.
See https://raymii.org/s/static/About.html for details.