Cart (Loading....) | Create Account
Close category search window
 

A new architecture for a parallel finite field multiplier with low complexity based on composite fields

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Paar, C. ; Dept. of Electr. & Comput. Eng., Worcester Polytech. Inst., MA

A bit parallel structure for a multiplier with low complexity in Galois fields is introduced. The multiplier operates over composite fields GF((2n)m), with k=nm. The Karatsuba-Ofman algorithm (A. Karatsuba and Y. Ofmanis, 1963) is investigated and applied to the multiplication of polynomials over GF(2n). It is shown that this operation has a complexity of order O(klog23 ) under certain constraints regarding k. A complete set of primitive field polynomials for composite fields is provided which perform module reduction with low complexity. As a result, multipliers for fields GF(2k) up to k=32 with low gate counts and low delays are listed. The architectures are highly modular and thus well suited for VLSI implementation

Published in:

Computers, IEEE Transactions on  (Volume:45 ,  Issue: 7 )

Date of Publication:

Jul 1996

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.