I don't know if I understand the question exactly but finite field
multiplier implementations are shown in Lin & Costello and also Sweeney's
book, which is more introductory.
> I would like to the different Finite Field Multipliers used for doing
> Finite Field Multiplication? Also specifically ones that do in
> Polynomial Basis??
> and for FPGA Implementation too!!!!
> any help regards to references to these design of multipliers and if
> possible a reference to the comparison of different multipliers would
> greatly appreciated.
> Thanx. OP.