A table of primitive binary polynomials-Reference-Cited by-同舟云学术

A table of primitive binary polynomials

Published:1994 Issue:205 Volume:62 Page:385-386
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Živković Miodrag

Abstract

For those n > 5000 n > 5000 for which the factorization of 2 n − 1 {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 GF ( 2 ) {\text {GF}}(2) are given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1994-62-205/S0025-5718-1994-1201073-4/S0025-5718-1994-1201073-4.pdf

Reference12 articles.

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2. Primitive 𝑡-nomials (𝑡=3,5) over 𝐺𝐹(2) whose degree is a Mersenne exponent ≤44497;Kurita, Yoshiharu;Math. Comp.,1991

3. A. K. Lenstra et al., a note in Editor’s corner, IACR Newsletter 7, no. 2 (June 1990), 1-2.

4. Factoring with two large primes (extended abstract);Lenstra, Arjen K.,1991

5. Fast correlation attacks on certain stream ciphers;Meier, Willi;J. Cryptology,1989

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