Construction of a k-complete addition law on abelian surfaces with rational theta constants

Christophe Arene 1 Romain Cosset 2, *
* Corresponding author
2 CARAMEL - Cryptology, Arithmetic: Hardware and Software
Inria Nancy - Grand Est, LORIA - ALGO - Department of Algorithms, Computation, Image and Geometry
Abstract : In this paper we explain how to construct F_q-complete addition laws on the Jacobian of an hyperelliptic curve of genus 2. This is usefull for robustness and is needed for some applications (like for instance on embedded devices).
Complete list of metadatas

Cited literature [13 references]  Display  Hide  Download

https://hal.inria.fr/hal-00645652
Contributor : Romain Cosset <>
Submitted on : Monday, November 28, 2011 - 2:01:25 PM
Last modification on : Tuesday, December 18, 2018 - 4:18:25 PM
Long-term archiving on : Wednesday, February 29, 2012 - 2:27:35 AM

Files

AreneCosset2011.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Christophe Arene, Romain Cosset. Construction of a k-complete addition law on abelian surfaces with rational theta constants. AGCT 2011, 2011, Marseille, France. ⟨10.1090/conm/574⟩. ⟨hal-00645652⟩

Share

Metrics

Record views

615

Files downloads

239