A074743 - OEIS

A074743

Smallest k such that trinomial x^A001153(n) + x^k + 1 over GF(2) is primitive.

1, 1, 2, 1, 3, 3, 38, 1, 32, 105, 216, 715, 67, 271, 84, 881, 1530, 8575, 25230, 7000, 215747, 170340, 361604, 3037958, 8412642, 880890, 2162059, 5110722, 55981, 3569337

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Table of n, a(n) for n=1..30.

R. P. Brent, Trinomial Log Files and Certificates

A. J. Menezes, P. C. van Oorschot and S. A. Vanstone, Handbook of Applied Cryptography, CRC Press, 1996; see p. 162.

Index entries for sequences related to trinomials over GF(2)

MAPLE

for n from 1 to 16 do for k from 1 to A001153(n)-1 do if(Primitive(x^A001153(n) + x^k + 1) mod 2)then printf("%d, ", k): break: fi:od:od: # Nathaniel Johnston, Apr 21 2011

CROSSREFS

Sequence in context: A257703 A061413 A286385 * A181642 A011358 A160188

Adjacent sequences: A074740 A074741 A074742 * A074744 A074745 A074746

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane, Sep 06 2002

EXTENSIONS

a(8)-a(16) from Nathaniel Johnston, Apr 21 2011

a(17)-a(30) from Brent's data added by Max Alekseyev, Oct 22 2011

STATUS

approved