Efficient and Secure ECDSA Algorithm and its Applications: A Survey

Al-Zubaidie, Mishall; Zhang, Zhongwei; Zhang, Ji

doi:10.48550/arxiv.1902.10313

Cited by 5 publications

(5 citation statements)

References 128 publications

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“…The public key of the sender can then be used at the receiver side to verify that the entity identified by this public key has authored the message. An example is the Elliptic Curve Digital Signature Algorithm (ECDSA) [18].…”

Section: ) Authenticationmentioning

confidence: 99%

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The Road to Trustworthy 6G: A Survey on Trust Anchor Technologies

Krummacker

Schotten

2023

IEEE Open J. Commun. Soc.

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While 5G networks are driving a growing number of use cases in the fields of Internet of Things (IoT) and industrial applications, the vision of the next generation of mobile communications systems already includes concepts massively transforming the way people will interact with the digital world through the network, as humans are shifting into the center of diverse network driven applications. Envisaged use cases and possibilities to provide services and resources in a distributed manner render an architectural solution for trust establishment a critical component of 6G networks. This survey provides an overview of terms and visions related to the topic of trust in general and in mobile communications systems. Requirements for an end-to-end trust building framework are derived, in order to give a starting point for the design process of a trust anchor service as a component of 6G networks.

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Section: ) Authenticationmentioning

confidence: 99%

“…Authentication [18]- [24] Different technologies can be used to manage unique identities of end users and network nodes.…”

Section: Topicmentioning

confidence: 99%

The Road to Trustworthy 6G: A Survey on Trust Anchor Technologies

Krummacker

Schotten

2023

IEEE Open J. Commun. Soc.

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“…The DSA quickly became popular and is widely used in various applications today. The early 2000s saw the introduction of the Elliptic Curve Digital Signature Algorithm (ECDSA), which is based on elliptic curve cryptography [20,21]. ECDSA is known for its small key size and fast computation time and is commonly used in resource-constrained environments.…”

Section: Related Workmentioning

confidence: 99%

A Novel Digital Signature Scheme for Advanced Asymmetric Encryption Techniques

Lalem¹,

Laouid

Kara

et al. 2023

Applied Sciences

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Digital signature schemes are practical mechanisms for achieving message integrity, authenticity, and non-repudiation. Several asymmetric encryption techniques have been proposed in the literature, each with its proper limitations. RSA and El Gamal prove their robustness, but are unsuitable in several domains due to their computational complexity. Other asymmetric encryption schemes have been proposed to provide a cloud homomorphic encryption service, where the researchers focused only on how to ensure the homomorphic property. This paper proposes a new digital signature scheme dedicated to a family of encryption techniques. The proposal consists of two parts: the first focused on the secret key, and the second focused on the public key. Signature validity checking was performed by multiplying these two parts to reform again the sender’s public key, then comparing the result with the decrypted message. The validation of the decrypted message guarantees data integrity, where the signer public key is used to ensure authenticity. The proposed scheme takes a shorter execution time for the entire signature operation, including signing and verification, compared to other modern techniques. The analysis showed its robustness against private key recovery and forgery attacks. The implementation results of the proposed scheme showed promising performance in terms of complexity and robustness. The results confirmed that the proposed scheme is efficient and effective for signature generation and verification.

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“…In the typical timing attack applied to ECC cryptosystems, the attacker relies on the weakness that different key bit values during the iterations result in different computation latency [44]. On the other hand, the SPA attack applied to the ECC cryptosystem is based on the power consumption at a certain time related to the point operation being performed, which leaks the key bit value being manipulated [40].…”

Section: Passive Attacksmentioning

confidence: 99%

Lightweight Architecture for Elliptic Curve Scalar Multiplication over Prime Field

Hao

Zhong

Ma³

et al. 2022

Electronics

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In this paper, we present a novel lightweight elliptic curve scalar multiplication architecture for random Weierstrass curves over prime field Fp. The elliptic curve scalar multiplication is executed in Jacobian coordinates based on the Montgomery ladder algorithm with (X,Y)-only common Z coordinate arithmetic. At the finite field operation level, the adder-based modular multiplier and modular divider are optimized by the pre-calculation method to reduce the critical path while maintaining low resource consumption. At the group operation level, the point addition and point doubling methods in (X,Y)-only common Z coordinate arithmetic are modified to improve computation parallelism. A compact scheduling method is presented to improve the architecture’s performance, which includes appropriate scheduling of finite field operations and specific register connections. Compared with existing works, our design is implemented on the FPGA platform without using DSPs or BRAMs for higher portability. It utilizes 6.4k~6.5k slices in Kintex-7, Virtex-7, and ZYNQ FPGA and executes an elliptic curve scalar multiplication for a field size of 256-bit in 1.73 ms, 1.70 ms, and 1.80 ms, respectively. Additionally, our design is resistant to timing attacks, simple power analysis attacks, and safe-error attacks. This architecture outperforms most state-of-the-art lightweight designs in terms of area-time products.

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Efficient and Secure ECDSA Algorithm and its Applications: A Survey

Cited by 5 publications

References 128 publications

The Road to Trustworthy 6G: A Survey on Trust Anchor Technologies

The Road to Trustworthy 6G: A Survey on Trust Anchor Technologies

A Novel Digital Signature Scheme for Advanced Asymmetric Encryption Techniques

Lightweight Architecture for Elliptic Curve Scalar Multiplication over Prime Field

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