Amin, Alaaeldin and Al-Somani, Turki Faisal (2006) Hardware Implementations of GF(2^m) Arithmetic using Normal Basis. Journal of Applied Sciences, 6 (6). pp. 1362-1372.
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Abstract
This study presents a survey of algorithms used in field arithmetic over GF (2m) using normal basis and their hardware implementations. These include the following arithmetic field operations: addition, squaring, multiplication and inversion. This study shows that the type II Sunar-Koc multiplier is the best multiplier with a hardware complexity of m2 AND gates + XOR gates and a time complexity of TA+ (1+ l log2 (m) l )Tx. The study also show that the Itoh-Tsujii inversion algorithm was the best inverter and it requires almost log2 (m-1) multiplications.
| Item Type: | Article |
|---|---|
| Date: | 2006 |
| Date Type: | Publication |
| Subjects: | Computer |
| Divisions: | College Of Computer Sciences and Engineering > Computer Engineering Dept |
| Creators: | Amin, Alaaeldin and Al-Somani, Turki Faisal |
| Email: | amindin@kfupm.edu.sa, tfsomani@uqu.edu.sa |
| ID Code: | 1238 |
| Deposited By: | Obaid-Ur-Rehman Khattak |
| Deposited On: | 28 Apr 2008 15:23 |
| Last Modified: | 12 Apr 2011 13:08 |
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