文章基本信息

标题：Composite Field Multiplier based on Look-Up Table for Elliptic Curve Cryptography Implementation
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作者：Marisa Widyastuti Paryasto ; Budi Rahardjo ; Fajar Yuliawan 等
期刊名称：Journal of ICT Research and Applications
印刷版ISSN：2337-5787
电子版ISSN：2338-5499
出版年度：2012
卷号：6C
期号：1
DOI：10.5614/itbj.ict.2012.6.1.4
出版社：Institut Teknologi Bandung
摘要：Implementing a secure cryptosystem requires operations involving hundreds of bits. One of the most recommended algorithm is Elliptic Curve Cryptography (ECC). The complexity of elliptic curve algorithms and parameters with hundreds of bits requires specific design and implementation strategy. The design architecture must be customized according to security requirement, available resources and parameter choices. In this work we propose the use of composite field to implement finite field multiplication for ECC implementation. We use 299-bit keylength represented in GF((213)23) instead of in GF(2299). Composite field multiplier can be implemented using different multiplier for ground-field and for extension field. In this paper, LUT is used for multiplication in the ground-field and classic multiplieris used for the extension field multiplication. A generic architecture for the multiplier is presented. Implementation is done with VHDL with the target device Altera DE2. The work in this paper uses the simplest algorithm to confirm the idea that by dividing field into composite, use different multiplier for base and extension field would give better trade-off for time and area. This work will be the beginning of our more advanced further research that implements composite-field using Mastrovito Hybrid, KOA and LUT.
关键词：composite field; cryptography; elliptic curve; finite field; multiplier; security