Public key cryptography based on twisted dihedral group algebras
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In this paper, we propose to use a twisted dihedral group algebra for public-key cryptography. For this, we introduce a new 2-cocycle α_λ to twist the dihedral group algebra. Using the ambient space 𝔽^α_λ D_2n, we then introduce a key exchange protocol and present an analysis of its security. Moreover, we explore the properties of the resulting twisted algebra 𝔽^α_λD_2n, exploiting them to enhance our key exchange protocol. We also introduce a probabilistic public-key scheme derived from our key-exchange protocol and obtain a key encapsulation mechanism (KEM) by applying a well-known generic transformation to our public-key scheme. Finally, we present a proof-of-concept implementation of the resulting key encapsulation mechanism.
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