Twelve new primitive binary trinomials
Number Theory
2016-05-31 v1
Abstract
We exhibit twelve new primitive trinomials over GF(2) of record degrees , , and . In addition we report the first Mersenne exponent not ruled out by Swan's theorem - namely - for which no primitive trinomial exists. This completes the search for the currently known Mersenne prime exponents.
Cite
@article{arxiv.1605.09213,
title = {Twelve new primitive binary trinomials},
author = {Richard P. Brent and Paul Zimmermann},
journal= {arXiv preprint arXiv:1605.09213},
year = {2016}
}
Comments
2 pages, 1 table