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Table of primitive binary polynomials. II


Author: Miodrag Živković
Journal: Math. Comp. 63 (1994), 301-306
MSC: Primary 11T06; Secondary 11T71, 11Y70
DOI: https://doi.org/10.1090/S0025-5718-1994-1240662-8
MathSciNet review: 1240662
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Abstract: For those $ n < 5000$, for which the factorization of $ {2^n} - 1$ is known, the first primitive trinomial (if such exists) and a randomly generated primitive 5- and 7-nomial of degree n in $ {\text{G}}F(2)$ are given, if the respective entry is absent from the previously published table.


References [Enhancements On Off] (What's this?)

  • [1] J. Brillhart, D. H. Lehmer, J. L. Selfridge, B. Tuckerman, and S. S. Wagstaff, Jr, Factorization of $ {b^n} \pm 1,\;b = 2,3,5,6,7,10,11,12$ up to high powers, 2nd ed., Contemp. Math., vol. 22, Amer. Math. Soc., Providence, RI, 1988. MR 996414 (90d:11009)
  • [2] S. S. Wagstaff, Jr, Update 2.6 to the second edition of factorization of $ {b^n} \pm 1$, 1993.
  • [3] M. Živković, A table of primitive binary polynomials, Math. Comp. 62 (1994), 385-386. MR 1201073 (94d:11099)

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1994-1240662-8
Keywords: Primitive polynomials, finite field
Article copyright: © Copyright 1994 American Mathematical Society

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