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A137311 Numbers n such that a type-5 Gaussian normal basis over GF(2^n) exists. 0

%I #8 Aug 30 2014 18:57:21

%S 2,12,20,26,36,42,84,92,98,108,114,132,140,164,188,194,212,218,234,

%T 236,258,260,276,290,306,314,324,348,362,372,380,386,402,426,428,444,

%U 474,476,482,506,524,548,570,572,602,644,674,692,698,714,716,738,740,764

%N Numbers n such that a type-5 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 1,1

%A _Joerg Arndt_, Apr 05 2008

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