In: Tatra Mountains Mathematical Publications, vol. 70, no. 3
Mohammed Sahmoudi - Abdelhakim Chillali
Detaily:
Rok, strany: 2017, 151 - 162
Kľúčové slová:
integral basis, key exchange, fully homomorphic
cryptosystems, cryptography
O článku:
In this paper, we propose a new method of Diffie-Hellman key
exchange based on a non-commutative integral closure ring. The key
idea of our proposal is that for a given non-commutative ring, we
can define the secret key and take it as a common key to encrypt and
decrypt the transmitted messages. By doing, we define a new
non-commutative structure over the integral closure $O_L$ of sextic
extension $L$, namely $L$ is an extension of $\mathbb{Q}$ of degree
6 in the form $\mathbb{Q}(\alpha,\beta)$, which is a rational
quadratic and monogenic extension over a non-pure and monogenic
cubic subfield $K=\mathbb{Q}(\beta)$.
Ako citovať:
ISO 690:
Sahmoudi, M., Chillali, A. 2017. Key exchange over particular algebraic closure ring. In Tatra Mountains Mathematical Publications, vol. 70, no.3, pp. 151-162. 1210-3195.
APA:
Sahmoudi, M., Chillali, A. (2017). Key exchange over particular algebraic closure ring. Tatra Mountains Mathematical Publications, 70(3), 151-162. 1210-3195.