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Ten new primitive binary trinomials

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dc.contributor.authorBrent, Richard P.
dc.contributor.authorZimmermann, Paul
dc.date.accessioned2016-03-14T23:16:16Z
dc.date.available2016-03-14T23:16:16Z
dc.date.issued2008-08-01
dc.date.updated2016-06-14T08:58:51Z
dc.description.abstractWe 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.
dc.description.sponsorshipThe work of the first author was supported by the Australian Research Council.en_AU
dc.identifier.issn0025-5718en_AU
dc.identifier.urihttp://hdl.handle.net/1885/100237
dc.publisherAmerican Mathematical Society
dc.rights© 2008 American Mathematical Society
dc.sourceMathematics of Computation
dc.subjectGF(2)[x]
dc.subjectirreducible polynomials
dc.subjectirreducible trinomials
dc.subjectprimitive polynomials
dc.subjectprimitive trinomials
dc.subjectMersenne exponents
dc.subjectMersenne numbers
dc.titleTen new primitive binary trinomials
dc.typeJournal article
local.bibliographicCitation.issue266en_AU
local.bibliographicCitation.lastpage1199en_AU
local.bibliographicCitation.startpage1197en_AU
local.contributor.affiliationBrent, Richard, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Centre for Mathematics and Its Applications, The Australian National Universityen_AU
local.contributor.affiliationZimmermann, Paul, Institut National de Recherche en Informatique et en Automatique (INRIA), Franceen_AU
local.contributor.authoruidu4241028en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor010301en_AU
local.identifier.ariespublicationu4085724xPUB24en_AU
local.identifier.citationvolume78en_AU
local.identifier.doi10.1090/S0025-5718-08-02170-4en_AU
local.identifier.scopusID2-s2.0-63049099746
local.identifier.thomsonID000263026800027
local.publisher.urlhttp://www.ams.org/journals/en_AU
local.type.statusPublished Versionen_AU

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