1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Help me construcing finite field, !

  1. Jan 15, 2008 #1
    Help me construcing finite field, plz!

    I need Construct a finite field with q Elements (10^9<q<10^10) and find
    a primitive root. That should be done in mathematica but I should not use Package for Finite Fields.

    Any idea how to solve this problem?
  2. jcsd
  3. Jan 15, 2008 #2


    User Avatar
    Science Advisor
    Homework Helper

    What do you know about fields?
    Do you have any examples of fields?
  4. Jan 15, 2008 #3
    I don’t think this is pre-calc, but:

    Can you think of a number p and n where

    10^9 < p^n < 10^10

    you should know how to construct a field with p^n elements.

    Hint: It involves Z_p and a irreducible polynomial of order n (check your class notes!)

    Edit: p must be prime of course
    Last edited: Jan 15, 2008
  5. Jan 16, 2008 #4
    Thank you very much!

    Could you refer me to any tutorial for constructing field with p^n elements the?
    I am not good with fields at all!

    When I construct the field do I have to take all polynomials possible of n degree in Z/Zp or only one irreducible or all irreducible ones?

    I don't have clear what is the finite field. What do I have to find in order to construct finite field?
    Last edited: Jan 16, 2008
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Help me construcing finite field, !
  1. Help me (Replies: 1)

  2. Help me (Replies: 7)

  3. Help me (Replies: 1)

  4. Help me (Replies: 11)