Search

Filter

  • Advanced Filters:

  • to

  • Specific Data Sources:

    All Edit

    Select All  |  Select None

Reset filters

Journals ACM SIGACT News Volume 39 Issue 2

Review of1 A Course in Computational Algebraic Number Theory By Henri Cohen Published by Springer, 2000, 534 pages Reviewed by Timothy Kelley (klle2td@jmu.edu) James Madison University Introduction: Algebraic number theory is a eld of number theory that studies algebraic numbers. An algebraic number is a number that exists in the set of complex numbers and is a root of a polynomial whose coe ƒcients are in the set of integers. That is, for a number ˆ C and polynomial A ˆ Z[X],2 is an algebraic number if A( ) = 0, and A is not identically zero.3 The computational aspect of this study involves examining, mathematically, the algorithms that solve problems related to number theory. These algorithms include fast powering algorithms, various algorithms for linear algebra, Euclid ™s algorithm for greatest common divisor, and elliptical curves, to name a few. These algorithms have become very important in the study of cryptography. The latest cryptography algorithms use elliptical curves, The Advanced Encryption Standard (AES) performs arithmetic over a binary nite eld with a degree of 8, and RSA requires large primes to be generated and encryption and decryption require that the value of a message be raised to a

End of preview. The entire article is 4 pages. To view the full-text, please rent this article to continue.

/lp/association-for-computing-machinery/review-of-a-course-in-computational-algebraic-number-theory-by-henri-aFyd1ku0rS
Welcome to DeepDyve! Rent Premier Research Articles and Save Up to 90%

Learn more

Bookmark

Review of A Course in Computational Algebraic Number Theory by Henri Cohen, Springer, 2000

Kelley, Timothy
ACM SIGACT News , Volume 39 (2)
Association for Computing Machinery – Jun 1, 2008

More Info

More Like This Article

View All dataSource[]=actageo&dataSource[]=aspet&dataSource[]=aaos&dataSource[]=aacc&dataSource[]=aacr&dataSource[]=aea&dataSource[]=aip&dataSource[]=ajnr&dataSource[]=ams&dataSource[]=aps_physical&dataSource[]=appi_book&dataSource[]=appi_journal&dataSource[]=apha&dataSource[]=asip&dataSource[]=asm&dataSource[]=asn&dataSource[]=aspb&dataSource[]=avs&dataSource[]=annual_reviews&dataSource[]=arxiv&dataSource[]=acm&dataSource[]=berghahn&dataSource[]=cabi&dataSource[]=clinical_trials&dataSource[]=dailymed&dataSource[]=degruyter&dataSource[]=du_press&dataSource[]=esa&dataSource[]=eu_press&dataSource[]=elsevier&dataSource[]=emerald&dataSource[]=ejtr&dataSource[]=emea&dataSource[]=epo&dataSource[]=faseb&dataSource[]=gsa&dataSource[]=health_affairs&dataSource[]=hindawi&dataSource[]=imanager&dataSource[]=imedpub&dataSource[]=informa_healthcare&dataSource[]=informs&dataSource[]=iop&dataSource[]=iucr&dataSource[]=iospress&dataSource[]=jbjs&dataSource[]=leftcoast&dataSource[]=lu_press&dataSource[]=mesharpe&dataSource[]=mary_ann_liebert&dataSource[]=medline&dataSource[]=mit_press&dataSource[]=nature&dataSource[]=oxford&dataSource[]=pier_professional&dataSource[]=pnas&dataSource[]=portlandpress&dataSource[]=psyc_articles&dataSource[]=psyc_books&dataSource[]=psyc_critiques&dataSource[]=plos_journal&dataSource[]=pubmed_central&dataSource[]=rsna&dataSource[]=rockefeller&dataSource[]=rcn&dataSource[]=ria&dataSource[]=rsc&dataSource[]=sage&dataSource[]=spie&dataSource[]=springer_journal&dataSource[]=springer&dataSource[]=taylor_francis&dataSource[]=aps&dataSource[]=the_scientist&dataSource[]=uc_press&dataSource[]=uspto_abstract&dataSource[]=wiley&dataSource[]=pct

Browse: Subject Areas | Journals | Publishers

Sign Up for a DeepDyve Account

Bookmark an Article

To bookmark an article, please log in first, or sign up for a DeepDyve account if you don't already have one.

OK

Subscribe to Journal Email Alerts

To subscribe to email alerts, please log in first, or sign up for a DeepDyve account if you don't already have one.

OK

Thank you for renting with DeepDyve

Your PayPal account has been charged $2.99. You now have access to the full text of this article. A rental receipt has also been sent to your email address.

Your credit card has been charged $2.99. You now have access to the full text of this article. A rental receipt has also been sent to your email address.

OK

New! You can now keep track of new articles from ACM SIGACT News on your personalized homepage! Learn more

PDF Download — Not Available

Thanks for your interest in purchasing the PDF. Your request has been noted and we will work with our publisher partner to discuss enabling this feature.

In the meantime, you can get the PDF by visiting the publisher site.

Thank you for purchasing with DeepDyve

Your PayPal account has been charged $.

Your credit card has been charged $.

You can now download this article. A purchase receipt has also been sent to your email address.

Download This Article or I'm done with my download

Print Page — Not Available

Thanks for your interest in printing individual pages. Your request has been noted and we will work with our publisher partner to discuss enabling this feature.

In the meantime, you can get the PDF by visiting the publisher site.

Thank you for printing with DeepDyve

Your PayPal account has been charged $0.

Your credit card has been charged $0.

You can now print this article. A purchase receipt has also been sent to your email address.

Print the Selected Pages or I'm done with my printing

Please refresh to generate a new download link

Your article download link has expired. Please refresh this page to obtain a new download link and try again.

Follow a Journal

To get new article updates from a journal on your personalized homepage, please log in first, or sign up for a DeepDyve account if you don't already have one.

OK