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.
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.
from Part I - Cryptanalysis
Published online by Cambridge University Press: 11 November 2021
In Chapter 5, Computing Discrete Logarithms, Robert Granger and Antoine Joux discuss the question “how hard is it to compute discrete logarithms in various groups?”. It details the key ideas and constructions behind the most efficient algorithms for solving the discrete logarithm problem (DLP) with a focus on the recent advances related to finite fields of extension degree >1. A highlight is the rapid development, in the period 2012–2014, of quasi-polynomial time algorithms to solve the DLP in finite fields of fixed charaterstic. Both Granger and Joux contributed significantly to this development, albeit on competing teams. For this book, in Chapter 5, they join forces and explain how different ideas eventually led to the fall of the fixed characteristic finite-field discrete logarithm problem.
To save this book to your Kindle, first ensure no-reply@cambridge.org 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.
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.
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.
