Ten new primitive binary trinomials

Richard Brent Paul Zimmermann 1
1 CACAO - Curves, Algebra, Computer Arithmetic, and so On
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We exhibit ten new primitive trinomials over $\GF(2)$ of record degrees $24\,036\,583$, $25\,964\,951$, $30\,402\,457$, and $32\,582\,657$. This completes the search for the currently known Mersenne prime exponents.
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https://hal.inria.fr/inria-00337525
Contributor : Paul Zimmermann <>
Submitted on : Friday, November 7, 2008 - 11:46:27 AM
Last modification on : Thursday, January 11, 2018 - 6:21:04 AM

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Richard Brent, Paul Zimmermann. Ten new primitive binary trinomials. Mathematics of Computation / Mathematics of Computation, American Mathematical Society, 2009, 78 (266), pp.1197-1199. ⟨http://www.ams.org/mcom/2009-78-266/S0025-5718-08-02170-4/home.html⟩. ⟨inria-00337525⟩

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