Hi John, hi Simon.

For example i want to construct the Bose.Chowla sequence with parameters
p=839 y h=17, my question is what way its better to construct this
sequence?.

I want to know this because i'm researching on the Chor Rivest system. Thus
I need a good algorithm to solve the DLP.


2014-05-04 9:34 GMT-05:00 Simon King <[email protected]>:

> Hi Jan, hi John,
>
> On 2014-05-04, John Cremona <[email protected]> wrote:
> > On 4 May 2014 13:20, Jan Medina <[email protected]> wrote:
> >> I wan to calculate log(\theta+i,\theta) for i in a finte field and
> theta a
> >> primtive element
> >>
> >
> > You can see the documentation of this function like this:
> >
> > sage: F=GF(101)
> >                                      sage: a=F(3)
> >
> >       sage: a.log?
> >
> > and even the code using a.log??
>
> I somehow have the impression that part of the problem is that John
> thinks in terms of methods ( a.log() ), while Jan is thinking in terms
> of functions ( log(a) ).
>
> Anyway, the documentation of the *function* "log" can be seen with
>   sage: log?
> and the source code with
>   sage: log??
>
> And it seems to be the case that ultimately the function call log(a)
> will end up with the method call a.log(). So, answering Jan's question:
> Yes, if alpha is is an element of a finite field with primitive element
> theta, then log(alpha,theta) is essentially the same as directly calling
> alpha.log(theta), and this the discrete logarithm.
>
> Best regards,
> Simon
>
>
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