Characteristic polynomials of the curve y2 = x7 + ax4 + bx over finite fields | Applied Discrete Mathematics. Supplement. 2019. № 12. DOI: 10.17223/2226308X/12/12

HomeIssuesCharacteristic polynomials of the curve y2 = x7 + ax4 + bx over finite fields | Applied Discrete Mathematics. Supplement. 2019. № 12. DOI: 10.17223/2226308X/12/12

Characteristic polynomials of the curve y2 = x7 + ax4 + bx over finite fields

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Keywords

hyperelliptic curves, characteristic polynomials, point-counting, genus 3

Authors

NameOrganizationE-mail
Novoselov S. A.I. Kant Baltic Federal Universitysnovoselov@kantiana.ru
Boltnev Y. F.I. Kant Baltic Federal Universityyuri.boltnev@gmail.com
Всего: 2

References

Novoselov S. A. Counting Points on Hyperelliptic Curves of Type y2 = x2g+1 + axg+1 + bx. https://arxiv.org/abs/1902.05992. 2019.
Satoh T. Generating genus two hyperelliptic curves over large characteristic finite fields. LNCS, 2009, vol. 5479, pp. 536-553.
Guillevic A. and Vergnaud D. Genus 2 hyperelliptic curve families with explicit Jacobian order evaluation and pairing-friendly constructions. LNCS, 2012, vol.7708, pp.234-253.
Schoof R. Counting points on elliptic curves over finite fields. J. de theorie des nombres de Bordeaux, 1995, vol.7, no. 1, pp. 219-254.
Characteristic polynomials of the curve y<sup>2</sup> = x<sup>7</sup> + ax<sup>4</sup> + bx over finite fields | Applied Discrete Mathematics. Supplement. 2019. № 12. DOI: 10.17223/2226308X/12/12

Characteristic polynomials of the curve y2 = x7 + ax4 + bx over finite fields | Applied Discrete Mathematics. Supplement. 2019. № 12. DOI: 10.17223/2226308X/12/12

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