Prime magnitude and keys...a ?

[Jim choate]

> 
> I think you misunderstand.  Perry and I are talking about the
> algormithm (If it exists) being O(log_2(n)).  That is, "log base 2 of n".
> This means that the time taken is proportional to the log to the base
> two of the number of keys.
> 
> Fascinating as this speculation is, I see no way to craft such
> an algorithm.  The nature of the modular space makes "larger"
> and "smaller" difficult to distinguish.
> 
I have made submission of a short text which details my thoughts relating
to a mod function attack. 

I am under no illusion about the complexity of mounting a factor attack.
I do see the mod function as the next natural hole to look at the algorithm
through. I can find no work relating to periodicities in the mod function
and it occurs to me that such relationships might point the way...