Public key cryptography based on twisted dihedral group algebras

<p style='text-indent:20px;'>In this paper, we propose to use a twisted dihedral group algebra for public-key cryptography. For this, introduce new <inline-formula><tex-math id="M1">\begin{document}$ 2 $\end{document}</tex-math></inline-formula>-cocycle id="M2">\begin{document}$ \alpha_{\lambda} $\end{document}</tex-math></inline-formula> twist the algebra. Using ambient space id="M3">\begin{document}$ \mathbb{F}^{\alpha_{\lambda}} D_{2n} $\end{document}</tex-math></inline-formula>, then key exchange protocol and present an analysis of its security. Moreover, explore properties resulting id="M4">\begin{document}$ \mathbb{F}^{\alpha_{\lambda}}D_{2n} exploiting them enhance our protocol. We also probabilistic scheme derived from key-exchange obtain encapsulation mechanism (KEM) by applying well-known generic transformation scheme. Finally, proof-of-concept implementation mechanism.</p>