Introduction to finite fields and their applications
Introduction to finite fields and their applications
Optimal normal bases in GF(pn)
Discrete Applied Mathematics
Montgomery Multiplication in GF(2^k
Designs, Codes and Cryptography
An Efficient Optimal Normal Basis Type II Multiplier
IEEE Transactions on Computers
IEEE Transactions on Computers
Handbook of Applied Cryptography
Handbook of Applied Cryptography
GF(2m) Multiplication and Division Over the Dual Basis
IEEE Transactions on Computers
ARITH '03 Proceedings of the 16th IEEE Symposium on Computer Arithmetic (ARITH-16'03)
Efficient scalable VLSI architecture for Montgomery inversion in GF(p)
Integration, the VLSI Journal
Low-Complexity Bit-Parallel Systolic Montgomery Multipliers for Special Classes of GF(2^m)
IEEE Transactions on Computers
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
CMOS Digital Integrated Circuits Analysis & Design
CMOS Digital Integrated Circuits Analysis & Design
Hi-index | 0.00 |
Normal basis and Montgomery multiplications are two popular arithmetic operations in GF(2m). In general, each element representation has its associated different algorithm and hardware multiplication architectures. In this paper, we will present a new combined circuit for computing normal basis and Montgomery multiplications, which is based on a Hankel multiplication. The results reveal that our proposed multiplier has lower space complexity as compared to existing systolic normal basis and Montgomery multipliers. Moreover, the proposed architecture has the features of regularity, modularity and local interconnect ability. Accordingly, it is well suited for VLSI implementation.