论文信息 - A primitive trinomial of degree 6972593 - 字舞流文

A primitive trinomial of degree 6972593

The only primitive trinomials of degree 6972593 over GF(2) are x 6972593 + x 3037958 + 1 and its reciprocal.

Richard P. Brent | Paul Zimmermann | Samuli Larvala | P. Zimmermann | R. Brent | Samuli Larvala

[1] J. Heringa,et al. New Primitive Trinomials Of Mersenne-Exponent Degrees For Random-Number Generation , 1992 .

[2] P. Zimmermann,et al. High Primes and Misdemeanours: Lectures in Honour of the 60th Birthday of Hugh Cowie Williams , 2004, 2105.06013.

[3] Y. Kurita,et al. Primitive t-Nomials(t=3,5)over GF(2) Whose Degree is a Mersenne Exponent≦44497 , 1991 .

[4] Neal Zierler,et al. Primitive Trinomials Whose Degree is a Mersenne Exponent , 1969, Inf. Control..

[5] Richard P. Brent,et al. Random Number Generators with Period Divisible by a Mersenne Prime , 2003, ICCSA.

[6] R. G. Swan,et al. Factorization of polynomials over finite fields. , 1962 .

[7] Makoto Matsumoto,et al. New primitive t-nomials (t = 3, 5) over GF(2) whose degree is a Mersenne exponent , 2000, Math. Comput..

[8] J. S. Gage. The great Internet Mersenne prime search. , 1998, M.D. computing : computers in medical practice.

[9] Hannes Leeb,et al. Corrigenda to “New primitive -nomials (=3,5) over (2) whose degree is a Mersenne exponent,” and some new primitive pentanomials , 2002 .

[10] Richard P. Brent,et al. A fast algorithm for testing reducibility of trinomials mod~2 and some new primitive trinomials of degree 3021377 , 2003, Math. Comput..