A080205 - OEIS

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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.

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

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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