Ten new primitive binary trinomials (original) (raw)

Journal Articles Mathematics of Computation Year : 2009

Abstract

We exhibit ten new primitive trinomials over GF(2)\GF(2)GF(2) of record degrees 24,036,58324\,036\,58324,036,583, 25,964,95125\,964\,95125,964,951, 30,402,45730\,402\,45730,402,457, and 32,582,65732\,582\,65732,582,657. This completes the search for the currently known Mersenne prime exponents.

Dates and versions

inria-00337525 , version 1 (07-11-2008)

Identifiers

• HAL Id : inria-00337525 , version 1

Cite

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