PROJECT TITLE :

Digit-Level Serial-In Parallel-Out Multiplier Using Redundant Representation for a Class of Finite Fields - 2017

ABSTRACT:

2 digit-level finite field multipliers in F 2 m using redundant illustration are presented. Embedding F 2 min cyclotomic field F two (n) causes a bound quantity of redundancy and consequently performing field multiplication using redundant illustration would require more hardware resources. Primarily based on a particular feature of redundant representation in an exceedingly class of finite fields, two new multiplication algorithms together with their pertaining architectures are proposed to alleviate this problem. Considering space-delay product as a measure of analysis, it's been shown that both the proposed architectures significantly outperform existing digit-level multipliers using the identical basis. It is also shown that for a subset of the fields, the proposed multipliers are of upper performance in terms of area-delay complexities among many recently proposed optimal normal basis multipliers. The most characteristics of the postplace&route application specific integrated circuit implementation of the proposed multipliers for 3 sensible digit sizes are reported.