CSTRU: A NTRU-Like Public Key Cryptosystem Over Conic Sedenion Algebra

Abstract

Conic sedenion from “C. Muses" hypernumbers are capable to express the Dirac equation in physics via their hyperbolic subalgebra, with electromagnetic eld and a counterpart on circular geometry proposed for quantum gravity. In this paper, we propose CSTRU by using conic sedenion algebra which is high speed probabilistic multi-dimensional public key cryptosystem that encrypt sixteen data vectors in each encryption and decryption process. The underlying algebraic structure of the proposed scheme is the non-commutative,non-associative, multiplicative modulus and multiplicative alternative conic sedenion algebra which can be de ned over any Dedekind domain such as convolution polynomial ring.