Introduction to finite fields and their applications
Introduction to finite fields and their applications
Montgomery Multiplication in GF(2^k
Designs, Codes and Cryptography
Fast Arithmetic for Public-Key Algorithms in Galois Fields with Composite Exponents
IEEE Transactions on Computers
Montgomery Multiplier and Squarer for a Class of Finite Fields
IEEE Transactions on Computers
Guide to Elliptic Curve Cryptography
Guide to Elliptic Curve Cryptography
Low-Complexity Bit-Parallel Systolic Montgomery Multipliers for Special Classes of GF(2^m)
IEEE Transactions on Computers
A digit-serial multiplier for finite field GF(2m)
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Optimum Digit Serial GF(2^m) Multipliers for Curve-Based Cryptography
IEEE Transactions on Computers
VLSID '07 Proceedings of the 20th International Conference on VLSI Design held jointly with 6th International Conference: Embedded Systems
Scalable and Systolic Montgomery Multipliers over GF(2m)
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Low complexity bit parallel architectures for polynomial basis multiplication over GF(2m)
IEEE Transactions on Computers
Complexity analysis of finite field digit serial multipliers on FPGAs
ARC'12 Proceedings of the 8th international conference on Reconfigurable Computing: architectures, tools and applications
Computers and Electrical Engineering
Low-complexity multiplier for GF(2m) based on all-one polynomials
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Utilization of Pipeline Technique in AOP Based Multipliers with Parallel Inputs
Journal of Signal Processing Systems
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Montgomery Algorithm for modular multiplication with a large modulus has been widely used in public key cryptosystems for secured data communication. This paper presents a digit-serial systolic multiplication architecture for all-one polynomials (AOP) over GF(2m) for efficient implementation of Montgomery Multiplication (MM) Algorithm suitable for cryptosystem. Analysis shows that the latency and circuit complexity of the proposed architecture are significantly less than those of earlier designs for same classes of polynomials. Since tbe systolic multiplier has the features of regularity, modularity and unidirectional data flow, this structure is well suited to VLSI implementations. The proposed multipliers have clock cycle latency of (2N - 1), where N = ⌈m/L⌉, m is the word size and L is the digit size. No digit serial systolic architecture based on MM algorithm over GF(2m) is reported before. The architecture is also compared to two well known digit serial systolic architectures.