generating very long binary sequences



Thanks Alasdair, the length of m-sequence looks considerably smaller 
then the MT19937. So I guess using MT19937 is safer, right?

-m

Alasdair McAndrew wrote:
> Grab a primitive polynomial from 
> http://www.jjj.de/mathdata/all-lowblock-primpoly-short.txt and use it to 
> generate your sequence.  A primitive polynomial of degree n will produce 
> an m-sequence of length 2^n-1. 
> 
> -Alasdair
> 
> On Wed, Feb 4, 2009 at 6:27 PM, Mehmet Suzen <mehmet.suzen at physics.org 
> <mailto:mehmet.suzen at physics.org>> wrote:
> 
> 
> 
>     Robert Dodier wrote:
>      > On Tue, Feb 3, 2009 at 9:52 AM, Mehmet Suzen
>     <mehmet.suzen at physics.org <mailto:mehmet.suzen at physics.org>> wrote:
>      >
>      >> What can you suggest to generate very long pseudorandom binary
>     sequence?
>      >> (At least 1-2 Ghz)
>      >
>      > Well, Maxima has an implementation of the Mersenne twister rng.
>      > You could concatenate outputs from that to get a long sequence.
>      > The Maxima function is "random" and the source code is
>     src/rand-mt19937.lisp.
> 
>     Do you know how long sequence is considered to be safely pseudorandom
>     with the implementation? (not repeating!) Can you suggest a reference
>     for the Mersenne Twister?
> 
>      >
>      >> Are there any implementation of Maximum Length Sequence (MLS)?
> 
>     It's explained here:
>     http://en.wikipedia.org/wiki/N-sequence
>     I have read somewhere that one can generate very long random binary
>     sequences with this.
> 
>      >
>      > I don't know what that is. Maybe you can explain briefly.
>      >
>      > Robert Dodier
>     _______________________________________________
>     Maxima mailing list
>     Maxima at math.utexas.edu <mailto:Maxima at math.utexas.edu>
>     http://www.math.utexas.edu/mailman/listinfo/maxima
> 
> 
> 
> 
> -- 
> Blog: http://amca01.wordpress.com