Public key cryptography based on skew dihedral group rings. (arXiv:2205.02997v1 [cs.CR])

In this paper, we propose to use a skew dihedral group ring given by the
group $D_{2n}$ and the finite field $\mathbb{F}_{q^2}$ for public-key
cryptography. Using the ambient space $\mathbb{F}_{q^{2}}^{\theta} D_{2n}$ and
a group homomorphism $\theta: D_{2n} \rightarrow
\mathrm{Aut}(\mathbb{F}_{q^2})$, we introduce a key exchange protocol and
present an analysis of its security. Moreover, we explore the properties of the
resulting skew group ring $\mathbb{F}_{q^{2}}^{\theta} D_{2n}$, exploiting them
to enhance our key exchange protocol. We also introduce a probabilistic
public-key scheme …

cryptography key public