Open AccessCertain sextics with many rational points
Author(s) -
Motoko Qiu Kawakita
Publication year - 2017
Publication title -
advances in mathematics of communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.601
H-Index - 26
eISSN - 1930-5346
pISSN - 1930-5338
DOI - 10.3934/amc.2017020
Subject(s) - mathematics , construct (python library) , pure mathematics , property (philosophy) , genus , combinatorics , botany , epistemology , philosophy , computer science , biology , programming language
We construct a family of sextics from the Wiman and Edge sextics. We find a curve over $\mathbb{F}_{5^7}$ attaining the Serre bound, and update $9$ entries of genus $6$ in manYPoints.org by computer search on these sextics.
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