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Key exchange over particular algebraic closure ring

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.