On novel security systems based on the 2-cyclic refined integers and the foundations of 2-cyclic refined number theory by Mohammad Abobala, Hasan Sankari, Mohamed Zeina

“…The objective of this paper is to provide the basic foundations of 2-cyclic refined number theory and linear Diophantine equations in two variables by building suitable algebraic isomorphism between the 2-cyclic refined integer ring and a subring of the direct product of Z with itself three times. …”
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