// COMPLETE THREAD

Re: Gao's Chaos Cryptosystem Algorithm

3 expanded posts ยท every known parent and child

NODE cd1eb448Re: Gao's Chaos Cryptosystem Algorithm
>Nobuki Nakatuji wrote:
>> 
>> >
>> >I will just repeat Prof. Choate's question, how do you generate Ch.
>> >
>> >
>> Ch generate 
>> 
>> begin
>> Xn+1=aXn(1.0-Xn)
>> return Xn+1
>> end
>
>What does aXn(1.0-Xn) mean? That's what I do not understand.
>
It mean Chaos function.



______________________________________________________
Get Your Private, Free Email at http://www.hotmail.com
NODE 6027c4e9Re: Gao's Chaos Cryptosystem Algorithm
Nobuki Nakatuji wrote:
> >Nobuki Nakatuji wrote:
> >> >I will just repeat Prof. Choate's question, how do you generate Ch.
> >> Ch generate 
> >> 
> >> begin
> >> Xn+1=aXn(1.0-Xn)
> >> return Xn+1
> >> end
> >
> >What does aXn(1.0-Xn) mean? That's what I do not understand.
> >
> It mean Chaos function.

How do you calculate this function?

Thank you.

	- Igor.
NODE e4a275ccRe: Gao's Chaos Cryptosystem Algorithm
On Tue, Sep 09, 1997 at 08:26:25AM -0500, Igor Chudov @ home wrote:
> Nobuki Nakatuji wrote:
> > >Nobuki Nakatuji wrote:
> > >> >I will just repeat Prof. Choate's question, how do you generate Ch.
> > >> Ch generate 
> > >> 
> > >> begin
> > >> Xn+1=aXn(1.0-Xn)
> > >> return Xn+1
> > >> end
> > >
> > >What does aXn(1.0-Xn) mean? That's what I do not understand.
> > >
> > It mean Chaos function.
> 
> How do you calculate this function?
> 
> Thank you.
> 
> 	- Igor.

Forgive me, but isn't this just the standard technique for calculating
these things? Recall the algorithm for calculating points in the
mandelbrot set -- a point X0 is in the set if the infinite series
described above converges to a value within certain bounds? 
[The infinite series defined by 

	X0 = something
	Xn+1 = a * (Xn) * ( 1.0 - (Xn) )
]

This iterative technique is the fundamental idea behind the creation 
of the mandelbrot set and Julia sets, as I recall.

I don't know anything at all about the "Chaos Cryptosystem Algorithm",
but there might actually be more to it than just another onetime pad.

-- 
Kent Crispin				"No reason to get excited",
kent@songbird.com			the thief he kindly spoke...
PGP fingerprint:   B1 8B 72 ED 55 21 5E 44  61 F4 58 0F 72 10 65 55
http://songbird.com/kent/pgp_key.html