Аннотация:
In this work, we list all possible characteristic polynomials of the Frobenius endomorphism for genus $3$ hyperelliptic curves of type $y^2 = x^7 + a x^4 + b x$ over finite field $\mathbb{F}_q$ of characteristic $p>3$.
Ключевые слова:
hyperelliptic curves, characteristic polynomials, point-counting, genus $3$.
The author is supported by RFBR according to the research project No. 18-31-00244.
Реферативные базы данных:
Тип публикации:
Статья
УДК:512.772.7
Язык публикации: английский
Образец цитирования:
S. A. Novoselov, Y. F. Boltnev, “Characteristic polynomials of the curve $y^2=x^7+ax^4+bx$ over finite fields”, ПДМ. Приложение, 2019, no. 12, 44–46