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A080205 Maximal number of rational points that a (smooth, geometrically irreducible) curve of genus 3 over the finite field GF(n) can have, or 0 if n is not a prime power. 1
7, 10, 14, 16, 0, 20, 24, 28, 0, 28, 0, 32, 0, 0, 38, 40, 0, 44, 0, 0, 0, 48, 0, 56, 0, 56, 0, 60, 0, 62, 64, 0, 0, 0, 0, 72, 0, 0, 0, 78, 0, 80, 0, 0, 0, 87, 0, 92, 0, 0, 0, 96, 0, 0, 0, 0, 0, 102, 0, 107, 0, 0, 113, 0, 0, 116, 0, 0, 0, 120, 0, 122, 0, 0, 0, 0, 0, 131, 0, 136, 0, 136, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

LINKS

Table of n, a(n) for n=2..84.

Jaap Top, Curves of genus 3 over small finite fields

CROSSREFS

A005526 is the same sequence with the zeros deleted.

Sequence in context: A215579 A306469 A059752 * A108980 A005526 A192292

Adjacent sequences:  A080202 A080203 A080204 * A080206 A080207 A080208

KEYWORD

nonn

AUTHOR

Dean Hickerson, Feb 05 2003

STATUS

approved

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Last modified May 28 18:24 EDT 2022. Contains 354122 sequences. (Running on oeis4.)