6533b829fe1ef96bd1289a47
RESEARCH PRODUCT
Symmetric and asymmetric cryptographic key exchange protocols in the octonion algebra
Zbigniew Lipinskisubject
Algebra and Number TheoryApplied Mathematics020206 networking & telecommunicationsEuler's totient function0102 computer and information sciences02 engineering and technologyAutomorphism01 natural sciencesOctonionOctavian totient functionQuaternion cryptographyAlgebraOctonion cryptographysymbols.namesakeOctonion RSA algorithm010201 computation theory & mathematicsTheory of computation0202 electrical engineering electronic engineering information engineeringsymbolsCryptosystemNon-associative cryptographyOctonion algebraMathematicsdescription
AbstractWe propose three cryptographic key exchange protocols in the octonion algebra. Using the totient function, defined for integral octonions, we generalize the RSA public-key cryptosystem to the octonion arithmetics. The two proposed symmetric cryptographic key exchange protocols are based on the automorphism and the derivation of the octonion algebra.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-11-02 | Applicable Algebra in Engineering, Communication and Computing |