Prikladnaya Diskretnaya Matematika. Supplement
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Prikladnaya Diskretnaya Matematika. Supplement, 2019, Issue 12, Pages 44–46
DOI: https://doi.org/10.17223/2226308X/12/12 (Mi pdma427) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Theoretical Foundations of Applied Discrete Mathematics

Characteristic polynomials of the curve $y^2=x^7+ax^4+bx$ over finite fields

S. A. Novoselov, Y. F. Boltnev

Immanuel Kant Baltic Federal University, Kaliningrad
Full-text PDF (606 kB) Citations (3)
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DOI: https://doi.org/10.17223/2226308X/12/12
Abstract: 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 $p>3$.
Keywords: hyperelliptic curves, characteristic polynomials, point-counting, genus $3$.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00244
The author is supported by RFBR according to the research project No. 18-31-00244.
Bibliographic databases:
Document Type: Article
UDC: 512.772.7
Language: English
Citation: S. A. Novoselov, Y. F. Boltnev, “Characteristic polynomials of the curve $y^2=x^7+ax^4+bx$ over finite fields”, Prikl. Diskr. Mat. Suppl., 2019, no. 12, 44–46
Citation in format AMSBIB
\Bibitem{NovBol19}
\by S.~A.~Novoselov, Y.~F.~Boltnev
\paper Characteristic polynomials of the curve $y^2=x^7+ax^4+bx$ over finite fields
\jour Prikl. Diskr. Mat. Suppl.
\yr 2019
\issue 12
\pages 44--46
\mathnet{http://mi.mathnet.ru/pdma427}
\crossref{https://doi.org/10.17223/2226308X/12/12}
\elib{https://elibrary.ru/item.asp?id=41153863}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Diskretnaya Matematika. Supplement
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