Algorithm for Data Encryption Standard

This Demonstration shows an example of the DES (Data Encryption Standard) algorithm, which is the most widely used encryption algorithm in the world. DES encrypts groups of 64 message bits and requires a key of 64 message bits. If a message or key is less than 64 message bits, it is padded with zeros to the right. All of the example messages are padded to the right with zeros to make a message with groups of 64 message bits.
DES operates on 64-bit blocks with keys that permute 56 bits. That is, it uses permutation matrices that switch one 64-bit block for another, holding 8 bits fixed. The permutation matrices used for the subkeys are those presented in [1] and appear to be the standard matrices; however, other permutation matrices could be applied. There is a maximum of 16 permutation steps done with these matrices. By choosing the number of steps, you can limit this number to fewer steps. This Demonstration shows the codes at each even step, up to and including the number of steps chosen.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


[1] J. O. Grabbe. "The DES Algorithm Illustrated." (Aug 27, 2014) page.math.tu-berlin.de/~kant/teaching/hess/krypto-ws2006/des.htm.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2018 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+