Một giải pháp cứng hóa phép nhân điểm Elliptic trên trường GF(p)
DOI:
https://doi.org/10.54654/isj.v8i2.33Keywords:
FPGA, Elliptic cuvers over GF(p), Point multiplication.Tóm tắt
Tóm tắt— Bài báo này mô tả thuật toán và cấu trúc mạch cho việc tính toán và thực thi phép tính nhân điểm đường cong Elliptic trên trường nguyên tố hữu hạn GF(p) có độ dài 256 bit. Cấu trúc mạch được mô tả bằng ngôn ngữ VHDL và được thực thi trên nền tảng chip Zynq xc7z030 và xc7z045.
Abstract— This paper describles an algorithm and structure for computing and implementation point multiplications on Elliptic cuvers defined GF(p) with 256 bits length. The circuits have been describled in VHDL in implemented on chip Zynq xc7z030 and xc7z045.
Từ khóa— FPGA; Đường cong elliptic trên trường GF(p); nhân điểm.
Downloads
References
[1].American Bankers Association. ANSI X9.62-1998: Public Key Cryptography for the Financial Services Industry: The Elliptic Curve Digital Signature Algorithm (ECDSA).
[2]. N. Koblitz, S. Vastone, and A. Menezes. The State of Elliptic Curve Cryptography, Design, Codes and Cryptography, 19(2/3):173-193, March 2000.
[3]. J. Lutz. High Performance Elliptic Curve Cryptographic co-processor. Master’s thesis, University of Waterloo, 2003.
[4]. Đề tài cấp Ban “Nghiên cứu thiết kế, chế tạo module bảo mật cài đặt an toàn, cứng hóa các thuật toán GOST (28147-89, R34.11-2012, R34.10-2012) dựa trên công nghệ FPGA”. Ban Cơ yếu Chính phủ, Thực hiện 2015- 2016. Chủ nhiệm Nguyễn Biên Cương.
[5]. SEC1. Elliptic Curve Cryptography: Standards for Eficient Cryptography Group, http://www.secg.org
[6]. TC03-2:2015, “Thuật toán chữ ký số ECDSA”, Ban cơ yếu Chính phủ.
[7]. The FIPS 186-3 Elliptic Curve Digital Signature Algorithm Validation System (ECDSA2VS), January 17, 2012.
[8].Cryptographic Algorithms on Reconfigurable Hardware, Springer.
Downloads
Published
How to Cite
Issue
Section
License
Proposed Policy for Journals That Offer Open Access
Authors who publish with this journal agree to the following terms:
1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
Proposed Policy for Journals That Offer Delayed Open Access
Authors who publish with this journal agree to the following terms:
1. Authors retain copyright and grant the journal right of first publication, with the work [SPECIFY PERIOD OF TIME] after publication simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).