New primitive t-nomials (t = 3, 5) over GF(2) whose degree is a Mersenne exponent

All primitive trinomials over GF (2) with degree 859433 (which is the 33rd Mersenne exponent) are presented. They are X859433 + X288477 + 1 and its reciprocal. Also two examples of primitive pentanomials over GF (2) with degree 86243 (which is the 28th Mersenne exponent) are presented. The sieve used is briefly described.

• Type: Journal
• Year: 2000
• Where: MOC
• Authors: Toshihiro Kumada, Hannes Leeb, Yoshiharu Kurita, Makoto Matsumoto
• Keywords: Exponent, Mersenne, MOC 2000, Primitive Trinomials