Abstract
In this paper, a generalized Montgomery multiplication algorithm in GF(2m) using the Toeplitz matrix-vector representation is presented. The hardware architectures derived from this algorithm provide low-complexity bit-parallel systolic multipliers with trinomials and pen-tanomials. The results reveal that our proposed multipliers reduce the space complexity of approximately 15% compared with an existing systolic Montgomery multiplier for trinomials. Moreover, the proposed architectures have the features of regularity, modularity, and local interconnection. Accordingly, they are well suited to VLSI implementation.
Original language | English |
---|---|
Pages (from-to) | 1478-1487 |
Number of pages | 10 |
Journal | IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences |
Volume | E91-A |
Issue number | 6 |
DOIs | |
Publication status | Published - 2008 |
Keywords
- Application specific instruction-set processor (ASIP)
- Basic convex pattern (BCP)
- Custom instruction identification
- System-on-a-chip (SoC)
ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Computer Graphics and Computer-Aided Design
- Applied Mathematics
- Signal Processing