InforLorV4, Hal, Curation, bibRecord, 004A38

Ten new primitive binary trinomials

Identifieur interne : 004A38 ( Hal/Curation ); précédent : 004A37; suivant : 004A39

Ten new primitive binary trinomials

Auteurs : Richard Brent ; Paul Zimmermann [France]

Source :

RBID : Hal:inria-00337525

English descriptors

mix :
- $GF(2)[x]$, Mersenne exponents, Mersenne numbers, irreducible polynomials, irreducible trinomials, primitive polynomials, primitive trinomials.

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.

Url:

https://hal.inria.fr/inria-00337525

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Le document en format XML

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Ten new primitive binary trinomials

Ten new primitive binary trinomials

Source :

English descriptors

Abstract

Links toward previous steps (curation, corpus...)

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri