Title
Efficient FPGA-based multipliers for F_{3^97} and F_{3^{6*97}}
Abstract
In this work we present a new structure for multiplication in finite fields. This structure is based on a digit-level LFSR (Linear Feedback Shift Register) multiplier in which the area of digit-multipliers are reduced using the Karatsuba method. We compare our results with the other works in the literature for F_{3^97}. We also propose new formulas for multiplication in F_{3^{6*97}}. These new formulas reduce the number of F_{3^97}-multiplications from 18 to 15. The fields F_{3^{97}} and F_{3^{6*97}} are relevant in the context of pairing-based cryptography.
Year
Venue
Keywords
2007
FPL
pairing based cryptography,finite field,linear feedback shift register
DocType
Volume
Citations 
Conference
abs/0708.3022
0
PageRank 
References 
Authors
0.34
1
3
Name
Order
Citations
PageRank
Jamshid Shokrollahi124315.97
Elisa Gorla2407.98
Christoph Puttmann3363.90