Lopez Dahab based elliptic crypto processor (ECP) over GF(2<sup>163</sup>) for low-area applications on FPGA

Imran, Malik; Rashid, Muhammad; Shafi, Imran

doi:10.1109/iceet1.2018.8338645

Cited by 14 publications

(25 citation statements)

References 21 publications

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“…SPM requires an initial point P on the EC and an integer k whose size is equivalent to the size of the field under consideration [23]. The SPM is simply the addition of k copies of the point P , ( Q = kP = P + P + P...).…”

Section: Elliptic Curve Cryptography On Gf (2 M )mentioning

confidence: 99%

“…In SPM, inversion needs to be performed for each PA and PD operation, which creates a performance bottleneck [14]. To avoid this inversion cost, a conversion from affine (x,y) to projective coordinates (X : Y : Z) can be computed, and then SPM is performed [23]. Afterward, a projective to affine coordinates conversion is performed back again to get the EC points result.…”

Section: Elliptic Curve Cryptography On Gf (2 M )mentioning

confidence: 99%

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Field-programmable gate array (FPGA) hardware design and implementation of a new area eﬀicient elliptic curve crypto-processor

Kashif¹,

Cicek²

2021

Turk J Elec Eng & Comp Sci

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Elliptic curve cryptography provides a widely recognized secure environment for information exchange in resource-constrained embedded system applications such as Internet-of-Things, wireless sensor networks, and radio frequency identification. As the ECC arithmetic is computationally very complex, there is a need for dedicated hardware for efficient computation of the ECC algorithm in which scalar point multiplication is the performance bottleneck. In this work, we present an ECC accelerator that computes the scalar point multiplication for the NIST recommended elliptic curves over Galois binary fields by using a polynomial basis. We used the Montgomery algorithm with projective coordinates for the scalar point multiplication. We designed a hybrid finite field multiplier based on the standard Karatsuba and shift-and-add multiplication algorithms that achieve one finite field multiplication in m 2 clock cycles for a key-length of m.The proposed design has been modeled in Verilog HDL, functionally verified with simulations, and implemented for FPGA devices using vendor tools to demonstrate hardware efficiency. Finally, we have integrated the ECC accelerator as an AXI4 peripheral with a synthesizable microprocessor on an FPGA device to create an elliptic curve crypto-processor.

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Section: Elliptic Curve Cryptography On Gf (2 M )mentioning

confidence: 99%

Section: Elliptic Curve Cryptography On Gf (2 M )mentioning

confidence: 99%

Field-programmable gate array (FPGA) hardware design and implementation of a new area eﬀicient elliptic curve crypto-processor

Kashif¹,

Cicek²

2021

Turk J Elec Eng & Comp Sci

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“…Generally exponentiation is done by squarer circuits [3,4,6,7,12,18,20,28] , quad circuits [5,21,22] and octet circuits (field size GF (2 256 )) [18,28]. We propose a novel HITA using Hex circuits to compute exponentiation in-order to save the area with increased ATP.…”

Section: Proposed Designmentioning

confidence: 99%

“…Among different arithmetic operation, FF inversion is one of the most important and computationally complex operations. Several attempts have been made to fasten the inverse operation [3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] using squarer and quad circuits on FPGA platforms. There are two useful approaches for finding an inversion over GF (2 m ) which includes Extended Euclidean Algorithm (EEA) [14,23] and Fermat's Little Theorem (FLT) [24].…”

Section: Introductionmentioning

confidence: 99%

A Hex Itoh-Tsujii inversion algorithm for FPGA platforms

Kalaiarasi¹,

Venkatasubramani²,

Rajaram³

2021

IEICE Electron. Express

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The Itoh-Tsujii inversion algorithm forms a major contribution in finding the inverse in cryptographic applications such as Elliptic Curve Cryptography. In this paper, a new Hex Itoh-Tsujii inversion algorithm is proposed to compute the multiplicative inverse efficiently on Field-Programmable Gate-arrays (FPGA) platforms for binary fields generated by NIST recommended irreducible trinomials. The Hex Itoh Tsujii inversion Algorithm based proposed architecture is constructed with hex circuits and quad addition chain. This combination improves the resource utilization. The experimental results shows that the proposed work has better Area-Time Performance compared with the existing implementation.

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“…These computations are important in constrained-source and large environments that require processing power, memory, or power consumption [20,33]. ECC provides encryption (Elliptic Curve Integrated Encryption Scheme(ECIES)), signature (Elliptic Curve Digital Signature Algorithm (ECDSA)), and exchange keys (Elliptic Cuvre Diffie-Hellman (ECDH)) approaches [31]. Many operations are performed in ECC algorithms (described in four layers) as shown in Figure 1 [34].…”

Section: Overview Of Techniquesmentioning

confidence: 99%

RAMHU: A New Robust Lightweight Scheme for Mutual Users Authentication in Healthcare Applications

Al-Zubaidie

Zhang

2019

Security and Communication Networks

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Providing a mechanism to authenticate users in healthcare applications is an essential security requirement to prevent both external and internal attackers from penetrating patients' identities and revealing their health data. Many schemes have been developed to provide authentication mechanisms to ensure that only legitimate users are authorized to connect, but these schemes still suffer from vulnerable security. Various attacks expose patients' data for malicious tampering or destruction. Transferring healthrelated data and information between users and the health centre makes them exposed to penetration by adversaries as they may move through an insecure channel. In addition, previous mechanisms have suffered from the poor protection of users' authentication information. To ensure the protection of patients' information and data, we propose a scheme that authenticates users based on the information of both the device and the legitimate user. In this paper, we propose a Robust Authentication Model for Healthcare Users (RAMHU) that provides mutual authentication between server and clients. This model utilizes an Elliptic Curve Integrated Encryption Scheme (ECIES) and PHOTON to achieve strong security and a good overall performance. RAMHU relies on multi pseudonyms, physical address, and one-time password mechanisms to authenticate legitimate users. Moreover, extensive informal and formal security analysis with the automated validation of Internet security protocols and applications (AVISPA) tool demonstrates that our model offers a high level of security in repelling a wide variety of possible attacks.

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Lopez Dahab based elliptic crypto processor (ECP) over GF(2¹⁶³) for low-area applications on FPGA

Cited by 14 publications

References 21 publications

Field-programmable gate array (FPGA) hardware design and implementation of a new area eﬀicient elliptic curve crypto-processor

Field-programmable gate array (FPGA) hardware design and implementation of a new area eﬀicient elliptic curve crypto-processor

A Hex Itoh-Tsujii inversion algorithm for FPGA platforms

RAMHU: A New Robust Lightweight Scheme for Mutual Users Authentication in Healthcare Applications

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Lopez Dahab based elliptic crypto processor (ECP) over GF(2163) for low-area applications on FPGA

Cited by 14 publications

References 21 publications

Field-programmable gate array (FPGA) hardware design and implementation of a new area eﬀicient elliptic curve crypto-processor

Field-programmable gate array (FPGA) hardware design and implementation of a new area eﬀicient elliptic curve crypto-processor

A Hex Itoh-Tsujii inversion algorithm for FPGA platforms

RAMHU: A New Robust Lightweight Scheme for Mutual Users Authentication in Healthcare Applications

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Lopez Dahab based elliptic crypto processor (ECP) over GF(2¹⁶³) for low-area applications on FPGA