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Producing Primitive Polynomials

• To: mathgroup at smc.vnet.net
• Subject: [mg14505] Producing Primitive Polynomials
• From: "Ersek, Ted R" <ErsekTR at navair.navy.mil>
• Date: Thu, 29 Oct 1998 04:33:07 -0500
• Sender: owner-wri-mathgroup at wolfram.com

In Numerical Recipes In C (2nd edition, page 331 in section 7.7)  I read
about Primitive Polynomials and Sobol sequences.  The book says an 'n'
order primitive polynomial is an 'n' order modulo 2 polynomial that can
not be factored using modulo 2 arithmetic.  On the same page of this
book there is a table containing all information needed to determine
the coefficients of all primitive polynomials up to order 10.

How would one do this with Mathematica?

Cheers,
Ted Ersek