scholarly journals MAKE: A matrix action key exchange

2022 ◽  
Vol 16 (1) ◽  
pp. 64-72
Author(s):  
Nael Rahman ◽  
Vladimir Shpilrain
Keyword(s):  
Semidirect Product ◽  
Key Exchange ◽  
The Other ◽  
Public Key ◽  
Key Exchange Protocol ◽  
Formula One ◽  
Diffie Hellman

Abstract We offer a public key exchange protocol based on a semidirect product of two cyclic (semi)groups of matrices over Z p {{\mathbb{Z}}}_{p} . One of the (semi)groups is additive, and the other one is multiplicative. This allows us to take advantage of both operations on matrices to diffuse information. We note that in our protocol, no power of any matrix or of any element of Z p {{\mathbb{Z}}}_{p} is ever exposed, so standard classical attacks on Diffie–Hellman-like protocols are not applicable.

scholarly journals A Certificateless Noninteractive Key Exchange Protocol with Provable Security

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Xuefei Cao ◽  
Lanjun Dang ◽  
Yingzi Luan ◽  
Wei You
Keyword(s):  
Random Oracle Model ◽  
Random Oracle ◽  
Key Exchange ◽  
Public Key ◽  
Communication Overhead ◽  
Key Exchange Protocol ◽  
The Public ◽  
Diffie Hellman ◽  
Message Exchange ◽  
Certificateless Public Key Cryptosystem

In this paper, we propose a certificateless noninteractive key exchange protocol. No message exchange is required in the protocol, and this feature will facilitate the applications where the communication overhead matters, for example, the communications between the satellites and the earth. The public key certificate is removed as well as the key escrow problem using the certificateless public key cryptosystem. The security of the protocol rests on the bilinear Diffie–Hellman problem, and it could be proved in the random oracle model. Compared with previous protocols, the new protocol reduces the running time by at least 33.0%.

scholarly journals Cryptanalysis of Kowada-Machado key exchange protocol

2018 ◽  
Vol 4 (1) ◽  
pp. 12
Author(s):  
M Coutinho ◽  
T C de Souza Neto ◽  
Robson De Oliveira Albuquerque ◽  
Rafael Timóteo de Sousa Júnior
Keyword(s):  
Recent Work ◽  
Open Problem ◽  
Key Exchange ◽  
Public Key ◽  
Key Exchange Protocol ◽  
Diffie Hellman ◽  
Shared Key ◽  
Diffie Hellman Key Exchange

A non-interactive key exchange (NIKE) protocol allows N parties who know each other’s public key to agree on a symmetric shared key without requiring any interaction. A classic example of such protocol for N = 2 is the Diffie-Hellman key exchange. Recently, some techniques were proposed to obtain a NIKE protocol for N parties, however, it is still considered an open problem since the security of these protocols must be confirmed. In a recent work, Kowada and Machado [1] proposed a protocol that solves the NIKE problem for N parties. However, this work found security problems in the proposed solution and implemented an efficient attack to their protocol demonstrating that their key-exchange scheme is insecure.

scholarly journals BESTIE: Broadcast Encryption Scheme for Tiny IoT Equipment

Electronics ◽  
2020 ◽  
Vol 9 (9) ◽  
pp. 1389
Author(s):  
Jiwon Lee ◽  
Jihye Kim ◽  
Hyunok Oh
Keyword(s):  
The Other ◽  
Public Key ◽  
Broadcast Encryption ◽  
Encryption Scheme ◽  
The Public ◽  
Private Key ◽  
Diffie Hellman ◽  
The Standard Model ◽  
Encryption Decryption ◽  
Subset Difference

In public key broadcast encryption, anyone can securely transmit a message to a group of receivers such that privileged users can decrypt it. The three important parameters of the broadcast encryption scheme are the length of the ciphertext, the size of private/public key, and the performance of encryption/decryption. It is suggested to decrease them as much as possible; however, it turns out that decreasing one increases the other in most schemes. This paper proposes a new broadcast encryption scheme for tiny Internet of Things (IoT) equipment (BESTIE), minimizing the private key size in each user. In the proposed scheme, the private key size is O(logn), the public key size is O(logn), the encryption time per subset is O(logn), the decryption time is O(logn), and the ciphertext text size is O(r), where n denotes the maximum number of users, and r indicates the number of revoked users. The proposed scheme is the first subset difference-based broadcast encryption scheme to reduce the private key size O(logn) without sacrificing the other parameters. We prove that our proposed scheme is secure under q-Simplified Multi-Exponent Bilinear Diffie-Hellman (q-SMEBDH) in the standard model.

A key exchange protocol using matrices over group ring

2019 ◽  
Vol 12 (05) ◽  
pp. 1950075
Author(s):  
Indivar Gupta ◽  
Atul Pandey ◽  
Manish Kant Dubey
Keyword(s):  
Group Ring ◽  
Complexity Analysis ◽  
Discrete Logarithm ◽  
Key Exchange ◽  
Group Rings ◽  
Secret Key ◽  
Key Exchange Protocol ◽  
Diffie Hellman ◽  
Shared Secret ◽  
Invertible Matrices

The first published solution to key distribution problem is due to Diffie–Hellman, which allows two parties that have never communicated earlier, to jointly establish a shared secret key over an insecure channel. In this paper, we propose a new key exchange protocol in a non-commutative semigroup over group ring whose security relies on the hardness of Factorization with Discrete Logarithm Problem (FDLP). We have also provided its security and complexity analysis. We then propose a ElGamal cryptosystem based on FDLP using the group of invertible matrices over group rings.

A Faster Software Implementation of the Supersingular Isogeny Diffie-Hellman Key Exchange Protocol

2018 ◽  
Vol 67 (11) ◽  
pp. 1622-1636 ◽  
Author(s):  
Armando Faz-Hernandez ◽  
Julio Lopez ◽  
Eduardo Ochoa-Jimenez ◽  
Francisco Rodriguez-Henriquez
Keyword(s):  
Key Exchange ◽  
Software Implementation ◽  
Key Exchange Protocol ◽  
Diffie Hellman ◽  
Diffie Hellman Key Exchange
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