Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
CHES: Past, Present, and Future Read chapter Read first chapter

2003 | OriginalPaper | Chapter

Efficient Subgroup Exponentiation in Quadratic and Sixth Degree Extensions

Authors : Martijn Stam, Arjen K. Lenstra

Published in: Cryptographic Hardware and Embedded Systems - CHES 2002

Publisher: Springer Berlin Heidelberg

Included in: Professional Book Archive

Get Access

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

This paper describes several speedups for computation in the order p + 1 subgroup of Fp*2 and the order p2 - p + 1 subgroup of Fp*6 These results are in a way complementary to LUC and XTR, where computations in these groups are sped up using trace maps. As a side result, we present an efficient method for XTR with p = 3 mod 4.

previous chapter DPA Countermeasures by Improving the Window Method
next chapter On the Efficient Generation of Elliptic Curves over Prime Fields
Metadata
Title
Efficient Subgroup Exponentiation in Quadratic and Sixth Degree Extensions
Authors
Martijn Stam
Arjen K. Lenstra
Copyright Year
2003
Publisher
Springer Berlin Heidelberg
Book
Cryptographic Hardware and Embedded Systems - CHES 2002

Print ISBN: 978-3-540-00409-7

Electronic ISBN: 978-3-540-36400-9

Copyright Year: 2003

DOI
https://doi.org/10.1007/3-540-36400-5_24

Premium Partner

    Image Credits