Rethinking low genus hyperelliptic Jacobian arithmetic over binary fields: interplay of field arithmetic and explicit formulæ

Journal of Mathematical Cryptology

Avanzi R.¹  Thériault N.²  Wang Z.³ 

[1] Faculty of Mathematics and Horst Görtz Institute for IT-Security, Ruhr University Bochum, Germany. Email: [e-mail];Instituto de Matemática y Física, Universidad de Talca, Talca, Chile. Email: [e-mail];University of Waterloo, Department of Combinatorics and Optimization, Canada.;

关键词: elliptic and hyperelliptic curves;    cryptography;    efficient implementation;    explicit formulæ;   

DOI  :  10.1515/JMC.2008.011

来源: DOAJ

【 摘 要 】

In this paper, we present several improvements on the best known explicit formulæ for hyperelliptic curves of genus three and four in characteristic two, including the issue of reducing memory requirements.

【 授权许可】

Unknown