The Huge Significance of the Vigenere Cipher in modern Cryptography.



The Huge Significance of the Vigenere Cipher in modern Cryptography.

Up until the advent of computer-driven number-theoretic cryptography
in about 1970 all cryptography was either transpositional or
substitutional in concept – this made it one-dimension in effect in
that it could be modelled on an imaginary straight line that could
have any direction.

Even after the inception of number-theoretic cryptography cryptography
continued to be linear in concept in that it leaned heavily on number
theory and number lines of arbitrary direction.

The Vigenere Cipher in the year circa 1586 was an exception and it
took cryptography into two dimensions for the first time albeit its
inventor could not possibly have foreseen that his invention was to
have a profound effect on future cryptography in the 21st century that
uses the ASCII printable subset 32 to 126 inclusive, to populate the
eponymous square that is at the heart of that cipher instead of the 26
letter characters of the English language.

Cryptography took on another concept then, the notion of an analogue
representation called displacement that could be defined by two
dimensions (Scalable Key Cryptography) or even three dimensions
(Vector Cryptography).

The possibilities for modelling cryptography in this environment are
successfully explored by me on http://www.adacrypt.com (Vector
cryptography) and on http://www.scalarcryptography.co.uk (Scalable Key
Cryptography).

That is not the end of it all by any means and readers can expect to
find many adaptations of this very fine cipher in lots of other walks
of mathematics that will enable them to write new original ciphers of
their own - The Vigenere Cipher is the gateway and model to many new
computer- driven ciphers yet to come - adacrypt
.



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