Scalable unified dual-radix architecture for Montgomery multiplication in GF{P) and GF(2n)

Kazuyuki Tanimura, Ryuta Nara, Shunitsu Kohara, Kazunori Shimizu, Youhua Shi, Nozomu Togawa, Masao Yanagisawa, Tatsuo Ohtsuki

研究成果: Conference contribution

4 引用 (Scopus)

抜粋

Modular multiplication is the most dominant arithmetic operation in elliptic curve cryptography (ECC), which is a type of public-key cryptography. Montgomery multiplication is commonly used as a technique for the modular multiplication and required scalability since the bit length of operands varies depending on the security levels. Also, ECC is performed in GF(P) or GF(2 n), and unified architectures for GF(P) and GF(2n) multiplier are needed. However, in previous works, changing frequency or dual-radix architecture is necessary to deal with delay-time difference between GF(P) and GF(2n) circuits of the multiplier because the critical path of GF(P) circuit is longer. This paper proposes a scalable unified dual-radix architecture for Montgomery multiplication in GF(P) and GF(2n). The proposed architecture unifies 4 parallel radix-216 multipliers in GF(P) and a radix-264 multiplier in GF(2n) into a single unit. Applying lower radix to GF(P) multiplier shortens its critical path and makes it possible to compute the operands in the two fields using the same multiplier at the same frequency so that clock dividers to deal with the delay-time difference are not required. Moreover, parallel architecture in GF(P) reduces the clock cycles increased by dual-radix approach. Consequently, the proposed architecture achieves to compute GF(P) 256-bit Montgomery multiplication in 0.23μs.

元の言語English
ホスト出版物のタイトル2008 Asia and South Pacific Design Automation Conference, ASP-DAC
ページ697-702
ページ数6
DOI
出版物ステータスPublished - 2008 8 21
イベント2008 Asia and South Pacific Design Automation Conference, ASP-DAC - Seoul, Korea, Republic of
継続期間: 2008 3 212008 3 24

出版物シリーズ

名前Proceedings of the Asia and South Pacific Design Automation Conference, ASP-DAC

Conference

Conference2008 Asia and South Pacific Design Automation Conference, ASP-DAC
Korea, Republic of
Seoul
期間08/3/2108/3/24

ASJC Scopus subject areas

  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering

フィンガープリント Scalable unified dual-radix architecture for Montgomery multiplication in GF{P) and GF(2<sup>n</sup>)' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

  • これを引用

    Tanimura, K., Nara, R., Kohara, S., Shimizu, K., Shi, Y., Togawa, N., Yanagisawa, M., & Ohtsuki, T. (2008). Scalable unified dual-radix architecture for Montgomery multiplication in GF{P) and GF(2n). : 2008 Asia and South Pacific Design Automation Conference, ASP-DAC (pp. 697-702). [4484041] (Proceedings of the Asia and South Pacific Design Automation Conference, ASP-DAC). https://doi.org/10.1109/ASPDAC.2008.4484041