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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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Submitted on : Friday, November 7, 2008 - 11:46:27 AM
Last modification on : Friday, February 26, 2021 - 3:28:08 PM


  • HAL Id : inria-00337525, version 1



Richard Brent, Paul Zimmermann. Ten new primitive binary trinomials. Mathematics of Computation, American Mathematical Society, 2009, 78 (266), pp.1197-1199. ⟨inria-00337525⟩



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