篇名 | A Novel Scalable Dual Basis GF(2m) Multiplier Architecture |
---|---|
卷期 | 28:1 |
作者 | Liang-Hwa Chen 、 Yen-Ching Chang 、 Chiou-Yng Lee 、 Po-Lun Chang |
頁次 | 087-103 |
關鍵字 | elliptic curve cryptography 、 finite field, dual basis 、 Hankel matrix-vector 、 scalable multiplier 、 EI 、 MEDLINE 、 Scopus |
出刊日期 | 201702 |
DOI | 10.3966/199115592017022801008 |
Modern mobile communications and Internet transactions heavily rely on cryptosystems to ensure their security. These cryptosystems such as ECDSA usually rely on arithmetic operations over finite field GF(2 ) m . The most important arithmetic operation is multiplication, thus leading to the high demand for design of efficient multiplier. In this paper, based on the Hankel matrix-vector representation of dual basis multiplication, a novel low-complexity scalable digital circuit architecture for dual basis GF(2 ) m multiplication is derived and proposed. This scalable architecture adopts most significant digit (MSD) first scheme and can perform mbit multiplications with substantially smaller d-bit digits, and thus is feasible for implementing ECC cryptosystems such as ECDSA in resource-constrained environments such as embedded systems and smart cards. Analytical results exhibit that both area and time-area complexities of the proposed scalable architecture are substantially lower than those of the non-scalable architectures. Moreover, due to its features of regularity, modularity and concurrency, the proposed architecture is highly promising for VLSI implementations.