@inproceedings{00f39fb8a28746aa92f450dbe309e1aa,
title = "Fast, Uniform Scalar Multiplication for Genus 2 Jacobians with Fast Kummers",
abstract = "We give one- and two-dimensional scalar multiplication algorithms for Jacobians of genus, 2 curves that operate by projecting to Kummer surfaces, where we can exploit faster and more uniform pseudomultiplication, before recovering the proper “signed” output back on the Jacobian. This extends the work of L{\'o}pez and Dahab, Okeya and Sakurai, and Brier and Joye to genus 2, and also to two-dimensional scalar multiplication. The technique is especially interesting in genus 2, because Kummer surfaces can outperform comparable elliptic curve systems.",
keywords = "Constant-time, Genus 2, Kummer surface, Pseudomultiplication, Scalar multiplication, Signatures, Uniform",
author = "Chung, \{Ping Ngai\} and Craig Costello and Benjamin Smith",
note = "Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG.; 23rd International Conference on Selected Areas in Cryptography, SAC 2016 ; Conference date: 10-08-2016 Through 12-08-2016",
year = "2017",
month = jan,
day = "1",
doi = "10.1007/978-3-319-69453-5\_25",
language = "English",
isbn = "9783319694528",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "465--481",
editor = "Roberto Avanzi and Howard Heys",
booktitle = "Selected Areas in Cryptography – SAC 2016 - 23rd International Conference, Revised Selected Papers",
}