Putting the Record Straight.
- From: austin.obyrne@xxxxxxxxxxx
- Date: Mon, 22 Sep 2008 05:15:47 -0700 (PDT)
It was only when other readers in sci crypt took me to task recently
for wrongly claiming and understandably so from their perspective,
that a one-way function is a powerful tool that underwrites
theoretically unbreakable cryptography that this writer came to
realize the hole that exists in our separate understanding of what
this is. The authors of popular handbooks, Bruce Schneier for
instance, are understandably hesitant to make statements that won’t
stand up under close mathematical rigour and these people say that
there is considerable doubt that any one-way functions exist in
mathematics. Bruce Schneier pointedly agrees to pretend that they do
exist just to smooth the ways for imparting his knowledge of hard
functions in “Applied Cryptography” p29.
The writer has used a change-of-origin to a frame of reference as an
intuitive act in a cipher realizing that this is a truly definitive
one-way function. The writer will defy any attempt to say one-way
functions do not exist. It is incredible that it should be necessary
to labour the point of the existence of this very obvious ploy in
vector or coordinate geometry methods. It is a vector function formed
by the addition of a constant vector to vector zero (0).
The one-way function per se is therefore an important ‘first’
discovery of a powerful crypto tool in sci crypt and for the
cryptography industry that should not go unnoticed by the authors of
books.
In contrast with the hitherto wrongly accepted meaning that a ‘hard’
to reverse function is a one-way function a true one-way function has
no mathematical inverse, hence the tag “one-way”.
Given that randomness is watered down to “pseudo random” the case is
made here for a similar thing to be done to one-way functions to be
similarly sub-classed to “pseudo one-way” as the name for what are
indeed ‘hard to reverse’ functions and for this important nuance of
description to be made official in crypto jargon.
The writer has delivered on this very important piece of mathematics
and cryptography methods. No rounds of applause for that but it
should be recorded that it came out of sci crypt.
Authors of books please note and make changes to future text
accordingly. One-way functions do exist in mathematics and happily in
cryptography too.
Note also, randomness is a contrived one-way function. We should be
looking for more of these instead of figuratively 'barking up the
wrong tree' in cryptography as at present – Adacrypt.
.
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