You are looking at a specific version 20101101:164229 of this paper. See the latest version.

Paper 2010/550

Isogenies and Cryptography

RAZA ALI KAZMI

Abstract

This thesis explores the notion of isogenies and its applications to cryptography. Elliptic curve cryptography (ECC) is an efficient public cryptosystem with a short key size. For this reason it is suitable for implementing on memory-constraint devices such as smart cards, mobile devices, etc. However, these devices leak information about their private key through side channels (power consumption, electromagnetic radiation, timing etc) during cryptographic processing. In this thesis we have examined countermeasures against a specific side channel attack (power consumption) using isogeny, (a rational homomorphism between elliptic curves) and elliptic curve isomorphism. We found that these methods are an efficient way of securing cryptographic devices using ECC against power analysis attacks. We have also investigated the security and efficiency of implementation of a public key cryptosystem based on isogenies. We found that in order to implement the proposed cryptosystem one has to compute a root of the Hilbert polynomial HD(X) over Fp. Since there is no known efficient way of achieving this calculation, the proposed cryptosystem cannot be used in pract

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Published elsewhere. Unknown where it was published
Contact author(s)
raza-ali kazmi @ mail mcgill ca
History
2010-11-01: received
Short URL
https://ia.cr/2010/550
License
Creative Commons Attribution
CC BY
Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content.