Journal ArticleDOI
Hardware organization to achieve high-speed elliptic curve cryptography for mobile devices
Liu Sining,Brian King,Wang Wei +2 more
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TLDR
A novel sharing scheme is proposed to significantly reduce the number of field multiplications and the usage of lookup tables, providing high speed operations for both hardware and software realizations.Abstract:
Elliptic curve cryptography (ECC) is recognized as a fast cryptography system and has many applications in security systems. In this paper, a novel sharing scheme is proposed to significantly reduce the number of field multiplications and the usage of lookup tables, providing high speed operations for both hard-ware and software realizations.read more
Citations
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Journal Article
Analyzing the Point Multiplication Operation of Elliptic Curve Cryptosystem over Prime Field for Parallel Processing
TL;DR: The proposed implementation of the Elliptic Curve Cryptosystem has a set of point operations, which are very useful to perform encryption or decryption on texts, and also for analysing the strength of encryption ordecryption computation.
Journal ArticleDOI
Efficient Implementation of Scalar Multiplication for Elliptic Curve Cryptography using Ancient Indian Vedic Mathematics over GF(p)
TL;DR: This paper examines that computation can be speeded up by using Ancient Indian Vedic Mathematics in ECC algorithm when applied in point doubling using Spartan3 as target device.
Proceedings ArticleDOI
Decreasing point multiplication over ECC (Z p ) using tree computations
TL;DR: The proposed technique schedules coding for fast processing and reduces number of clock cycles during its atomic operations during ECC, which is useful when it is implemented by using parallel processing.
Proceedings ArticleDOI
Optimized hardware design and implementation of EC based key management scheme for WSN
TL;DR: The design and implementation of an integrated architecture for key exchange and authentication in wireless sensor networks (WSNs) employing elliptic curve cryptography (ECC) for key management with optimized design of overall structure through hardware reuse is presented.
Journal ArticleDOI
Optimizing point Doubling Operations in ECC Zp
TL;DR: This proposed technique reduces the number of clock cycles of point multiplication for parallel processing by reducing number of dependent and independent operations.
References
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Journal ArticleDOI
Elliptic curve cryptosystems
TL;DR: The question of primitive points on an elliptic curve modulo p is discussed, and a theorem on nonsmoothness of the order of the cyclic subgroup generated by a global point is given.
Book
The Arithmetic of Elliptic Curves
TL;DR: It is shown here how Elliptic Curves over Finite Fields, Local Fields, and Global Fields affect the geometry of the elliptic curves.
Book ChapterDOI
Use of Elliptic Curves in Cryptography
TL;DR: In this paper, an analogue of the Diffie-Hellmann key exchange protocol was proposed, which appears to be immune from attacks of the style of Western, Miller, and Adleman.
Book
Elliptic Curves in Cryptography
TL;DR: In the past few years elliptic curve cryptography has moved from a fringe activity to a major challenger to the dominant RSA/DSA systems as mentioned in this paper, and it has become all pervasive.
Related Papers (5)
Hardware Implementation of Text Encryption using Elliptic Curve Cryptography over 192 bit Prime Field
Mohita Jaiswal,Kusum Lata +1 more