Introduction to finite fields and their applications
Introduction to finite fields and their applications
Bit serial multiplication in finite fields
SIAM Journal on Discrete Mathematics
Efficient Exponentiation of a Primitive Root in GF(2m)
IEEE Transactions on Computers
Division-and-Accumulation over GF(2m)
IEEE Transactions on Computers
Double-Basis Multiplicative Inversion Over GF(2m)
IEEE Transactions on Computers
Equally Spaced Polynomials, Dual Bases, and Multiplication in F2^n
IEEE Transactions on Computers
VLSI Algorithms, Architectures, and Implementation of a Versatile GF(2m) Processor
IEEE Transactions on Computers
Bit-Parallel Finite Field Multipliers for Irreducible Trinomials
IEEE Transactions on Computers
A New Approach to Subquadratic Space Complexity Parallel Multipliers for Extended Binary Fields
IEEE Transactions on Computers
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
An Efficient Finite Field Multiplier Using Redundant Representation
ACM Transactions on Embedded Computing Systems (TECS)
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Multiple error-correcting Reed-Solomon (RS) codes have many practical applications. The complexity of an RS encoder depends on multiplications in the finite field over which the code is defined. In this article, we consider a triangular basis for representing the field elements, and present architecture for a rate-adaptive RS encoder using a triangular basis multiplication algorithm. The architecture supports pipeline and bit-serial operations, and has a low circuit complexity.