Skew Curve Cryptography – The Winds of Inevitable Change.

[adacrypt]

This is cryptography that transforms an abstract plaintext character
into a physical analogue as a displacement in three-dimensional space,
that being the means of encryption transformations.

The displacement uses the motion of a point in three-dimensional space
as a surrogate means in effecting the encryption transformations.

The salient thing about this cryptography is the sheer simplicity of
the algorithm and the theoretically unbreakable strength of the cipher
that evolves from it.

There is no hard-selling pitch needed to promote this cryptography, it
is patently unbreakable and it supersedes any other cipher that uses
conic sections as its modus operandi. It is a no-contest situation –
I say this not so much to be triumphalist about it but instead to
persuade readers to go down an easier road than elliptical curve
cryptography.

I have had this cryptography on the back burner for some time now
because to air it all along would I thought would be competing against
my earlier invention of vector cryptography, that might have been
confusing instead of informative to readers so I desisted from
promoting it for that reason. It is becoming increasingly clear to me
now however that all future cryptography will be analogued as varying
forms of physical displacement that become analogues of numbers in a
contrived way and “Skew Curve Cryptography” is merely a parallel
contender to the “Skew Line Cryptography” that I am also expounding,
both in the ‘displacement’ theory that I am propounding.

A skew curve has both curvature and twist (torsion) simultaneously and
is not entirely in any single particular plane.

“Skew Line Cryptography” uses variously directed straight number lines
in three-dimensional space.

“Skew Curve Cryptography” uses skew curves instead of these directed
straight lines to do the same thing.

Both of these cipher types are number-theoretic, computer driven,
symmetric stream ciphers, they are equally secure.

Working models are to hand as up and running implementations in the
Ada-95 programming language.

Skew curve cryptography uses wildly asymmetric geometric paths that
are reminiscent of the vertical spiral of hurricanes as number lines
but in a controlled accountable way.

The equation of the path is taken as the equation-of-motion of a
point in three-dimensional space (a la in mechanics). The latter is
always a vector function in time ‘t’.

I have no knowledge of, or indeed any interest in current elliptical
curve cryptography but my instinct is that skew curve cryptography is
superior by reason of the enormous (good for business) disparity in
the paths as number lines, compared to any conic section modelling of
numbers in a cipher.

More later.

- adacrypt

[Globemaker]

I am glad your mentioned elliptic curve cryptography, even though you
spelled it wrong.

From : http://en.wikipedia.org/wiki/Elliptic_geometry
"The name "elliptic" is possibly misleading. It does not imply any
direct connection with the curve called an ellipse, but only a rather
far-fetched analogy. A central conic is called an ellipse or a
hyperbola according as it has no asymptote or two asymptotes.
Analogously, a non-Euclidean plane is said to be elliptic or
hyperbolic according as each of its lines contains no point at
infinity or two points at infinity."

[adacrypt]

> infinity or two points at infinity."- Hide quoted text -
>
> - Show quoted text -

Thanks for that - I would pursue this more rigorously if I could see
some crypto profit in it but although I am aware of the Greek origins
that always fascinate me I will not do so this time and instead go
along with the semantics for purely cultural reasons - good to hear as
always - regards - adacrypt

[amzoti]

"Skew curve cryptography uses wildly asymmetric geometric paths that
are reminiscent of the vertical spiral of hurricanes as number lines
but in a controlled accountable way. "

Fascinating!

Do you think it is somehow tied in with solar flares and their interactions with solar winds?