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A137313 Numbers n such that a type-6 Gaussian normal basis over GF(2^n) exists. 0

%I

%S 1,2,3,5,6,7,10,11,13,17,23,26,27,30,33,35,37,38,45,46,47,58,61,62,63,

%T 70,73,77,81,83,87,90,91,101,102,103,107,110,115,118,121,122,125,126,

%U 131,137,138,142,143,146,147,151,161,165,166,170,173,175,177,178

%N Numbers n such that a type-6 Gaussian normal basis over GF(2^n) exists.

%C A type-t Gaussian normal basis exists for GF(2^n) if p=n*t+1 is prime and gcd(n, (p-1)/ord(2 mod p))==1.

%H Joerg Arndt, <a href="http://www.jjj.de/fxt/#fxtbook">Matters Computational (The Fxtbook)</a>, section 42.9 "Gaussian normal bases", pp.914-920

%Y Cf. A136415.

%K nonn

%O 1,2

%A _Joerg Arndt_, Apr 05 2008

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Last modified June 22 17:18 EDT 2021. Contains 345388 sequences. (Running on oeis4.)