Search results for "Euler's totient function"

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Symmetric and asymmetric cryptographic key exchange protocols in the octonion algebra

2019

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.

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 algebraMathematicsApplicable Algebra in Engineering, Communication and Computing
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