Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-07T20:57:51.967Z Has data issue: false hasContentIssue false

10 - XTR and Tori

from Part II - Implementations

Published online by Cambridge University Press:  11 November 2021

Edited by
Joppe Bos  and
Martijn Stam
Joppe Bos
Affiliation:
NXP Semiconductors, Belgium
Martijn Stam
Affiliation:
Simula UiB, Norway
Get access

Summary

In Chapter 10, XTR and Tori, Martijn Stam discusses how to work efficiently and compactly in certain multiplicative subgroups of finite fields. The emphasis is on XTR, which works in the cyclotomic subgroup of Fp6 . Stam worked extensively on speeding up XTR and related systems based on algebraic tori and uses his first-hand knowledge to provide a historical perspective of XTR in Chapter 10.

Keywords

XTRtori
Type
Chapter
Information
Computational Cryptography
Algorithmic Aspects of Cryptology
 , pp. 293 - 313
Publisher: Cambridge University Press
Print publication year: 2021

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • XTR and Tori
  • Edited by Joppe Bos, Martijn Stam
  • Book: Computational Cryptography
  • Online publication: 11 November 2021
  • Chapter DOI: https://doi.org/10.1017/9781108854207.013
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • XTR and Tori
  • Edited by Joppe Bos, Martijn Stam
  • Book: Computational Cryptography
  • Online publication: 11 November 2021
  • Chapter DOI: https://doi.org/10.1017/9781108854207.013
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • XTR and Tori
  • Edited by Joppe Bos, Martijn Stam
  • Book: Computational Cryptography
  • Online publication: 11 November 2021
  • Chapter DOI: https://doi.org/10.1017/9781108854207.013
Available formats
×