Introduction to finite fields and their applications
Introduction to finite fields and their applications
Mastrovito Multiplier for All Trinomials
IEEE Transactions on Computers
Montgomery Multiplier and Squarer for a Class of Finite Fields
IEEE Transactions on Computers
IEEE Transactions on Computers
Bit-Parallel Finite Field Multiplier and Squarer Using Polynomial Basis
IEEE Transactions on Computers
Parallel Multipliers Based on Special Irreducible Pentanomials
IEEE Transactions on Computers
A Generalized Method for Constructing Subquadratic Complexity GF(2^k) Multipliers
IEEE Transactions on Computers
Fast Bit-Parallel GF(2^n) Multiplier for All Trinomials
IEEE Transactions on Computers
IEEE Transactions on Computers
A New Approach to Subquadratic Space Complexity Parallel Multipliers for Extended Binary Fields
IEEE Transactions on Computers
Efficient parallel multiplier in shifted polynomial basis
Journal of Systems Architecture: the EUROMICRO Journal
IEEE Transactions on Computers
Low complexity bit parallel multiplier for GF (2m) generated by equally-spaced trinomials
Information Processing Letters
New efficient bit-parallel polynomial basis multiplier for special pentanomials
Integration, the VLSI Journal
Hi-index | 0.89 |
In this letter, we present a speedup of bit-parallel Karatsuba multiplier in GF(2^m) generated with a class of irreducible trinomials. Applying a slightly modified Karatsuba approach, we can save one XOR gate delay at the cost of little increase of space complexity. The proposed multiplier has a lower time complexity than the previous Karatsuba multipliers except for those based on equal-space trinomial or all-one polynomial. In counterpart it only requires one more XOR time delay than the best known multipliers for trinomials but maintains a smaller number of logic gates.