Ten New Primitive Binary Trinomials
233. Richard P. Brent and
Paul Zimmermann,
Ten new primitive binary trinomials,
Mathematics of Computation,
to appear (accepted 16 April 2008).
Posted electronically 1 August 2008:
http://www.ams.org/mcom/0000-000-00/S0025-5718-08-02170-4/
Preprint:
pdf (136K).
Abstract
We exhibit ten new primitive trinomials over GF(2)
of record degrees 24036583, 25964951, 30402457, and 32582657.
This completes the search for the currently known Mersenne prime exponents.
Comments
For details of the computation, see the
trinomial page.
For software, see the gf2x package.
For related papers, see
[230,
232].
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