Polybius

Polybius was a greek who invented a system of converting alphabetic
characters into numeric characters. It was devised to enable messages
to be easily signalled using torches.

Here I’ve presented a polybius square using our current alphabet.
Note that i and j share the same position. However thjs wjll not
cause much of a problem when decoding as jt wjll usually be obvjous from
the context iust whjch was jntended!

# 1 2 3 4 5
1 a b c d e
2 f g h ij k
3 l m n o p
4 q r s t u
5 v w x y z

Each letter may be represented by two numbers by looking up the
row the letter is in and the column. For instance h=23 and r=42.

The idea was that a message may be transmitted by holding
different combinations of torches in each hand. The chequerboard
has other important characteristics, namely the reduction in
the number of different characters, the conversion to numbers
and the reduction of a symbol into two parts which are separately
manipulable. As such chequerboards form the basis for many more ciphers.

Polybius is still a monoalphabetic cipher, one character is always represented by the same two digits – but it does make a good building block for other ciphers, sometimes very strong ciphers, such as adfgvx, which I will discuss later.

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"Polybius" is 3rd in a larger sequence of 47 posts

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One Comment

  1. elise
    Posted September 6, 2004 at 6:02 am | Permalink

    Vice Admiral James Stockdale was shot down over Vietnam and spent 8 years in a prisoner of war camp, and 4 years in solitary. While in solitary he devised a method of communicating with other prisoners in solitary by transliterating letters into numbers based on the grid you’ve shown here. Except that instead of torch lights, the prisoners used knocks on the walls. 2 rapid knocks followed by 1 was “f”.

    This I learned from his book, In Love and War.
    http://www-hoover.stanford.edu/BIOS/stockdale.html

    (edit by Murk)

    (I’ve found the book at amazon UK and Amazon US here:
    http://www.amazon.co.uk/exec/obidos/ASIN/1557507848/thebeginneguidet
    http://www.amazon.com/exec/obidos/ASIN/0060153180/beginnersguide.2

    Thanks, I love the fact that he’s ‘James Bond’ Stockdale!
    I’ve slightly edited the URL as it gave a 404 error – Murk)

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