Use of Elliptic Curves in Cryptography

Miller, Victor S.

doi:10.1007/3-540-39799-x_31

Cited by 2,930 publications

(1,633 citation statements)

References 12 publications

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“…The legitimacy of new node joined the network could be confirmed. In [12], the ECC encryption algorithm was introduced. The algorithm used elliptic curve on the mathematical problems to complete the asymmetric encryption.…”

Section: Related Workmentioning

confidence: 99%

A Scalable SDN Architecture for Underwater Networks Security Authentication

Chen

Zheng

et al. 2018

IEICE Trans. Inf. & Syst.

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SUMMARY Software-defined networking (SDN) is recognized as the next-generation networking paradigm. The software-defined architecture for underwater acoustic sensor networks (SDUASNs) has become a hot topic. However, the current researches on SDUASNs is still in its infancy, which mainly focuses on network architecture, data transmission and routing. There exists some shortcomings that the scale of the SDUASNs is difficult to expand, and the security maintenance is seldom dabble. Therefore, a scalable software-definition architecture for underwater acoustic sensor networks (SSDUASNs) is introduced in this paper. It realizes an organic combination of the knowledge level, control level, and data level. The new nodes can easily access the network, which could be conducive to large-scale deployment. Then, the basic security authentication mechanism called BSAM is designed based on our architecture. In order to reflect the advantages of flexible and programmable in SSDUASNs, security authentication mechanism with pre-push (SAM-PP) is proposed in the further. In the current UASNs, nodes authentication protocol is inefficient as high consumption and long delay. In addition, it is difficult to adapt to the dynamic environment. The two mechanisms can effectively solve these problems. Compared to some existing schemes, BSAM and SAM-PP can effectively distinguish between legal nodes and malicious nodes, save the storage space of nodes greatly, and improve the efficiency of network operation. Moreover, SAM-PP has a further advantage in reducing the authentication delay.

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Section: Related Workmentioning

confidence: 99%

A Scalable SDN Architecture for Underwater Networks Security Authentication

Chen

Zheng

et al. 2018

IEICE Trans. Inf. & Syst.

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“…There are a number of challenges with using encryption in small devices. Performing public key encryption on 8-bit microcontrollers has been enhanced by the use of Elliptic Curve Cryptography (ECC) (Koblitz, 1987;Miller, 1986). ECC reduces the time and power requirements for the same level of encryption as an equivalent Rivest, Shamir, and Adleman public key cryptography (RSA) public-key encryption (Rivest, Shamir & Adleman, 1978) by an order of magnitude (Gura et al, 2004;Sethi, Arkko & Keranen, 2012): RSA encryption on constrained 8-bit microcontrollers may take minutes to complete, whereas similar ECC-based cryptography completes in seconds.…”

Section: B1: Network Confidentialitymentioning

confidence: 99%

A survey of secure middleware for the Internet of Things

Fremantle

Scott

2017

PeerJ Computer Science

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The rapid growth of small Internet connected devices, known as the Internet of Things (IoT), is creating a new set of challenges to create secure, private infrastructures. This paper reviews the current literature on the challenges and approaches to security and privacy in the Internet of Things, with a strong focus on how these aspects are handled in IoT middleware. We focus on IoT middleware because many systems are built from existing middleware and these inherit the underlying security properties of the middleware framework. The paper is composed of three main sections. Firstly, we propose a matrix of security and privacy threats for IoT. This matrix is used as the basis of a widespread literature review aimed at identifying requirements on IoT platforms and middleware. Secondly, we present a structured literature review of the available middleware and how security is handled in these middleware approaches. We utilise the requirements from the first phase to evaluate. Finally, we draw a set of conclusions and identify further work in this area.

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“…At the receiver, the message is decrypted by the point multiplication result of Alice's public key and Bob's private key . Since that (3) Bob can decode the message without knowing prior knowledge of Alice's private key. Meanwhile the illegal eavesdropper Eve possesses neither of the private keys; she is unable to decrypt the message only with the public keys, due to the hardness to solve Discrete Logarithm Problem.…”

Section: Problem Formulation and Related Workmentioning

confidence: 99%

“…Elliptic Curve Cryptography is first introduced by Miller [3] and Koblitz [4], based on the Discrete Logarithm Problem [5]. With short-length key, ECC can achieve the same security as RSA [1], [6] In hardware implementation, ECC algorithm has smaller capacity, faster computation and less power consumption [7], which will bring benefit in wireless communications and portable devices [8].…”

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confidence: 99%

MMVECC Encryption Algorithm for Redundancy Problem Solving and Authentication Verification

Sayed¹

2017

IJMO

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Abstract-Based on Elliptic Curve Discrete Logarithm Problem (DLP), Elliptic Curve Cryptography (ECC) shows promise in the public key cryptography methods. In this article, a new algorithm based on ECC is introduced, which has lower complexity than Menezes-Vanstone algorithm. Meanwhile our method introduces "one-time pad" to increase the security, and solve data redundancy encryption problem while at the same time maintains the authenticity of the transmitted message, which cannot be fabricated by the eavesdropper and cannot be denied by the legal transmitter. The simulations result shows that the redundancy problem is totally solved, and the correctness of the algorithm is verified through an example. A comparisons and resistance to different attacks are included also in the essay.

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Use of Elliptic Curves in Cryptography

Cited by 2,930 publications

References 12 publications

A Scalable SDN Architecture for Underwater Networks Security Authentication

A Scalable SDN Architecture for Underwater Networks Security Authentication

A survey of secure middleware for the Internet of Things

MMVECC Encryption Algorithm for Redundancy Problem Solving and Authentication Verification

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