Paper 2002/006
The best and worst of supersingular abelian varieties in cryptology
Karl Rubin and Alice Silverberg
Abstract
For certain security applications, including identity based encryption and short signature schemes, it is useful to have abelian varieties with security parameters that are neither too small nor too large. Supersingular abelian varieties are natural candidates for these applications. This paper determines exactly which values can occur as the security parameters of supersingular abelian varieties (in terms of the dimension of the abelian variety and the size of the finite field), and gives constructions of supersingular abelian varieties which are optimal for use in cryptography.
Note: The paper has been updated, with new results and constructions.
Metadata
- Available format(s)
-
PDF
- Category
- Public-key cryptography
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- abelian varietiessupersingularelliptic curvesshort signatures
- Contact author(s)
- silver @ math ohio-state edu
- History
- 2002-02-14: last of 3 revisions
- 2002-01-06: received
- See all versions
- Short URL
- https://ia.cr/2002/006
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2002/006,
author = {Karl Rubin and Alice Silverberg},
title = {The best and worst of supersingular abelian varieties in cryptology},
howpublished = {Cryptology {ePrint} Archive, Paper 2002/006},
year = {2002},
url = {https://eprint.iacr.org/2002/006}
}
