Design of an Elliptic Curve Cryptography Processor for RFID Tag Chips

Abstract-Proximity Integrated Circuit Cards (PICC) are widely used for public transport fare collection. The stored contents in the card can only be accessed or modified after the card is able to authenticate the Proximity Coupling Device (PCD) or reader using a shared secret key.We propose a new authentication scheme that is not based on shared secret keys. Instead, authentication is based on the card and reader being able to compute an identical pairwise key using their own private keying material obtained from the same source. The computation is done off-line and does not require the participation of a third party. It uses simple modular arithmetic operations over a small binary extension field, achieving fast computation speed using the limited resources in cards. In addition, should the keys be stolen from the cards or readers, the security of the other parts of the system cannot be compromised.

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“…Considering that the ECC-163 implementation in [12] required 13.8 K GE, our requirement should be less.…”

Section: Discussionmentioning

confidence: 99%

“…At 13.56 MHz, this is about 22 ms. The more recent work in [12] designed an ECC-163 processor which took 176,700 clock cycles which at 13.56 MHz, takes about 13.1 ms. It required about 13.8 K GE and consumed 253 µW of power.…”

Section: Related Workmentioning

confidence: 99%

A lightweight authentication scheme for transport system farecards

Yang

Narayanan

Parry

et al. 2016

2016 IEEE International Conference on RFID Technology and Applications (RFID-TA)

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“…This has led researchers to consider ECC as a lightweight authentication scheme in many IoT applications [23][24][25]. Currently, it is the security backbone for many applications and systems, such as mobile devices and network protocols [26,27]. Mathematically, the ECC can be defined using the Weierstrass equation as:…”

Section: Elliptic Curve Cryptosystem (Ecc)mentioning

confidence: 99%

A Robust and Hybrid Cryptosystem for Identity Authentication

et al. 2021

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With the progressive development of a wide range of applications, interconnect things and internet of things (IoT) became an imperative required trend by industries and academicians. IoT became a base infrastructure for remote access or control depending on internet protocol (IP) networks, especially after the COVID-19 pandemic. The huge application domain’s infrastructure, which depends on IoT, requires a trusted connection to guarantee security and privacy while transferring data. This paper proposes a hybrid identity authentication pipeline that integrates three schemes, namely, an elliptic curve cryptography (ECC) scheme is integrated with the Ong, Schnorr, and Shamir (OSS) signature scheme and chaotic maps. The latter satisfies both security and guarantee criteria. The novelty of the proposal is in using chaotic mapping and a cyclic group to deduce a substitution box (S-Box) and a reversible matrix as a portion of the OSS signature equation. The ECC-based security part is an efficient public key cryptography mechanism with less computational cost, which makes it the most convenient to be used in IoT devices for authentication and privacy. The strength of the proposed scheme relies on combining the discrete logarithm problem (DLP) and integer factorization problem (IFP). The proposed approach was simulated using Lab-View and compared with other state-of-the art schemes. Extensive simulation results and analysis of the security and time rendering results confirmed its durability against different types of attacks, such as linear and differential attacks.

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“…However, their design is slower and occupied more area than ours. In the same year, the authors in [13], proposed a design of an elliptic curve cryptography processor as an application for RFID tag chips. The works cited below are vulnerable to attacks.…”

Section: Related Workmentioning

confidence: 99%

Design And Implementation of Low Area/Power Elliptic Curve Digital Signature Hardware Core

et al. 2017

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Abstract:The Elliptic Curve Digital Signature Algorithm (ECDSA) is the analog to the Digital Signature Algorithm (DSA). Based on the elliptic curve, which uses a small key compared to the others public-key algorithms, ECDSA is the most suitable scheme for environments where processor power and storage are limited. This paper focuses on the hardware implementation of the ECDSA over elliptic curves with the 163-bit key length recommended by the NIST (National Institute of Standards and Technology). It offers two services: signature generation and signature verification. The proposed processor integrates an ECC IP, a Secure Hash Standard 2 IP (SHA-2 Ip) and Random Number Generator IP (RNG IP). Thus, all IPs will be optimized, and different types of RNG will be implemented in order to choose the most appropriate one. A co-simulation was done to verify the ECDSA processor using MATLAB Software. All modules were implemented on a Xilinx Virtex 5 ML 50 FPGA platform; they require respectively 9670 slices, 2530 slices and 18,504 slices. FPGA implementations represent generally the first step for obtaining faster ASIC implementations. Further, the proposed design was also implemented on an ASIC CMOS 45-nm technology; it requires a 0.257 mm 2 area cell achieving a maximum frequency of 532 MHz and consumes 63.444 (mW). Furthermore, in this paper, we analyze the security of our proposed ECDSA processor against the no correctness check for input points and restart attacks.

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Design of an Elliptic Curve Cryptography Processor for RFID Tag Chips

Cited by 15 publications

References 24 publications

A lightweight authentication scheme for transport system farecards

A lightweight authentication scheme for transport system farecards

A Robust and Hybrid Cryptosystem for Identity Authentication

Design And Implementation of Low Area/Power Elliptic Curve Digital Signature Hardware Core

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