Computing the characteristic polynomials of a class of hyperelliptic curves for cryptographic applications

DOI10.1155/2011/437541zbMath1213.94144OpenAlexW2038210060WikidataQ58693051 ScholiaQ58693051MaRDI QIDQ541470

Guangguo Han, Yongxuan Sang, Lin You, Ji-Wen Zeng

Publication date: 7 June 2011

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223750

Mathematics Subject Classification ID

Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Uses Software

• HECC

Cites Work

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• On additive polynomials and certain maximal curves
• Hyperelliptic cryptosystems
• Über die Automorphismengruppe eines algebraischen Funktionenkörpers von Primzahlcharakteristik. II: Ein spezieller Typ von Funktionenkörpern
• A double large prime variation for small genus hyperelliptic index calculus
• Monte Carlo Methods for Index Computation (mod p)
• On the Discriminant of a Hyperelliptic Curve
• Hyperelliptic Curve Cryptosystems: Closing the Performance Gap to Elliptic Curves
• Numbers of solutions of equations in finite fields

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