Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Generator of ciclic group over finite field

  1. Mar 18, 2009 #1
    generator of cyclic group over finite field

    Let [tex]F_p[/tex] be a finite field ([tex]p[/tex] is prime). Let us consider the unite circle over this field. We know the number of rational points on this circle (i.e. the points [tex](x,y),~x,y\in F_p[/tex]). It is either [tex]p-1[/tex] if -1 is a quadratic non residue, or [tex]p+1[/tex], otherwise.
    Clearly this points forms a cyclic group (under multiplication of complex numbers). My question, is there any way/algorithm to find the generator for this group?
     
    Last edited: Mar 18, 2009
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: Generator of ciclic group over finite field
Loading...