Welcome Guest [Log In] [Register]
Viewing Single Post From: Clarification
osric
Advanced Member
[ *  *  * ]
A single enciphering disk enables 26 different alphabets. If you imagine a disk with a mixed alphabet written around its perimeter and positioned in an annular ring with the normal alphabet inscribed, you have such a disk. It can be represented like this:

ring: abcdefghijklmnopqrstuvwxyz
disk: FROGSWALTZDUCKJIBVEXNYMPHQ

This arrangement is the ‘F’ alphabet.

Now if you rotate the disk one place anticlockwise you get:

ring: abcdefghijklmnopqrstuvwxyz
disk: ROGSWALTZDUCKJIBVEXNYMPHQF

which is the ‘R’ alphabet.

An enciphering machine with 2 disks can be set up in a number of ways. For example, each disk could have a different mixed alphabet, and be positioned within a ring marked with the normal alphabet:

ring 1: abcdefghijklmnopqrstuvwxyz
disk 1: FROGSWALTZDUCKJIBVEXNYMPHQ

ring 2: abcdefghijklmnopqrstuvwxyz
disk 2: WHYJUMPFOLDINGBRACKETSQVXZ

To encipher ‘a’, you first look at ‘a’ in the ring of disk 1 and find ‘F’ on the disk. Then you look at ‘f’ on the ring of disk 2 and find ‘M’ on the disk. ‘M’ is the cipher equivalent.

You can encipher every letter in this way and get the equivalent alphabet:

abcdefghijklmnopqrstuvwxyz
MCBPKQWLEZJTYDLOHSUVGXNRFA

By moving disk 1 anticlockwise one step at a time, you will get 26 different alphabets. Then if you move disk 2 one step anticlockwise, and again move disk 1 a/c a step at a time you will get 26 more different alphabets. All told you will find 26*26=676 different alphabets.




Edited by osric, Jul 5 2009, 06:40 PM.
Offline Profile Quote Post
Clarification · Chaocipher