Generalisations of NTRU cryptosystem

Singh, Sonika; Padhye, Sahadeo

doi:10.1002/sec.1693

Cited by 26 publications

(11 citation statements)

References 58 publications

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“…Practically, will be lesser than , therefore key security is fixed by , and individual message security is fixed by . So, the security for a key (both |Lg| and |Lf |) and the message is |Lr | [25].…”

Section: Brute Force Attackmentioning

confidence: 99%

Dynamic keys generation for internet of things

Guma'a

Hussein

Al-Ta'i

2020

IJEECS

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<span>In several aspects, interest in IoT has become considerable by researchers and academics in recent years. Data security becomes one of the important challenges facing development of IoT environment. Many algorithms were proposed to secure the IoT applications. The traditional public key cryptographic are inappropriate because it requires high computational. Therefore, lattice-based public-key cryptosystem (LB-PKC) is a favorable technique for IoT security. NTRU is one of a LB-PKC that based on truncated polynomial ring, it has good features, which make it to be an effective alternative to the RSA and ECC algorithms. But, there is LLL algorithm can success to attack it under certain conditions. This paper proposes modifications to NTRU public key cryptosystem to be secure against the lattice-based attack by using LLL algorithm, as well as a method for generating a new keys sequence dynamically. The results from simulations show that the performance of these modifications gives more secure from NTRU. </span>

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Section: Brute Force Attackmentioning

confidence: 99%

Dynamic keys generation for internet of things

Guma'a

Hussein

Al-Ta'i

2020

IJEECS

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“…This system is characterized by a small and simple key structure, high speed, and low memory requirements. Thus, many studies have arisen on NTRU, and its well‐known derivatives are ITRU, CTRU, OTRU, and MaTRU, all having different mathematical infrastructures . There are also key exchange protocols based on NTRU.…”

Section: Introductionmentioning

confidence: 99%

MaTRU‐KE revisited: CCA2‐secure key establishment protocol based on MaTRU

Akleylek

Cevik

2020

Int J Communication

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Quantum attack-resistant cryptosystems are required for secure communication since there is a big demand to have quantum computers.Lattice-based cryptography is one of the quantum-secure families due to its key/ciphertext sizes and performance. NTRU-based cryptosystems, a member of lattice-based cryptosystems, have received much more attention. MaTRU, a noncommutative version of NTRU with some matrix properties, is used to obtain a key exchange protocol in 2018. In this paper, we focus on MaTRU-based key exchange protocols having CCA2 properties. We propose CCA2-secure versions of MaTRU-KE and then provide a security analysis of CCA2-secure key establishment protocols. We also provide a comparison with the previous ones. KEYWORDSCCA-CPA security, cryptography, key exchange, MaTRU-KE, NTRU-based cryptosystems Int J Commun Syst. 2020;33:e4326.wileyonlinelibrary.com/journal/dac

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“…Hoffstein, Pipher and Silverman [11] proposed the NTRU (Number Theory Research Unit) public-key cryptosystem. The most prominent feature of NTRU is its high speed in encryption and decryption operations for practical security levels under best known attacks compared with classical public-key cryptosystems such as RSA and ECC [12], [13]. NTRU is also considered to be the most viable post-quantum public-key cryptosystem [14] while classical public-key cryptosystems such as RSA and ECC are insecure in the emergence of quantum computing [15].…”

Section: Introductionmentioning

confidence: 99%

A Group-Based NTRU-Like Public-Key Cryptosystem for IoT

et al. 2019

IEEE Access

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The Internet of things have been widely used to improve our daily life. Public-key cryptosystem plays a central role in the security of IoT. However, classic public-key cryptosystems such as RSA and ECC are not suitable for IoT because of the complicated encryption and decryption operations. NTRU is an efficient public-key cryptosystem. In this paper, we first generalize NTRU and propose a group-based NTRU-like public-key cryptosystem, namely GTRU. Then, we construct high-performance GTRU for IoT. Finally, security analysis shows that our proposed GTRU for IoT is more secure than NTRU against lattice-based attacks.INDEX TERMS Internet of things, NTRU, public-key cryptosystem, the poly-Z group, the discrete Heisenberg group.HAITAO XU received the Ph.D. degree from the

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Generalisations of NTRU cryptosystem

Abstract: Since the proposal of NTRU cryptosystem, many variants were proposed by the researcher using different‐different algebraic structure. In this article, we try to explore the existing variants of NTRU cryptosystem with their comparative study. Copyright © 2016 John Wiley & Sons, Ltd.

Cited by 26 publications

References 58 publications

Dynamic keys generation for internet of things

Dynamic keys generation for internet of things

MaTRU‐KE revisited: CCA2‐secure key establishment protocol based on MaTRU

A Group-Based NTRU-Like Public-Key Cryptosystem for IoT

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