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A137311 Numbers n such that a type-5 Gaussian normal basis over GF(2^n) exists. 0
2, 12, 20, 26, 36, 42, 84, 92, 98, 108, 114, 132, 140, 164, 188, 194, 212, 218, 234, 236, 258, 260, 276, 290, 306, 314, 324, 348, 362, 372, 380, 386, 402, 426, 428, 444, 474, 476, 482, 506, 524, 548, 570, 572, 602, 644, 674, 692, 698, 714, 716, 738, 740, 764 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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.

LINKS

Table of n, a(n) for n=1..54.

Joerg Arndt, Matters Computational (The Fxtbook), section 42.9 "Gaussian normal bases", pp.914-920

CROSSREFS

Cf. A136415.

Sequence in context: A277589 A069164 A067762 * A032407 A136725 A023534

Adjacent sequences:  A137308 A137309 A137310 * A137312 A137313 A137314

KEYWORD

nonn

AUTHOR

Joerg Arndt, Apr 05 2008

STATUS

approved

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Last modified August 21 12:01 EDT 2017. Contains 290864 sequences.