The key exchange cryptosystem used with higher order Diophantine equations

Details The key exchange cryptosystem used with higher order Diophantine equations The key exchange cryptosystem used with higher order Diophantine equations

2011-03-19

arxiv.org/abs/1103.3742v1

International Journal of Network Security & Its Applications (IJNSA), Vol.3, No.2, March 2011

Computer Science

Information Theory

8 pages, 0 figure

Scientific paper

One-way functions are widely used for encrypting the secret in public key cryptography, although they are regarded as plausibly one-way but have not been proven so. Here we discuss the public key cryptosystem based on the system of higher order Diophantine equations. In this system those Diophantine equations are used as public keys for sender and recipient, and sender can recover the secret from the Diophantine equation returned from recipient with a trapdoor. In general the system of Diophantine equations is hard to solve when it is positive-dimensional and it implies the Diophantine equations in this cryptosystem works as a possible one-way function. We also discuss some problems on implementation, which are caused from additional complexity necessary for constructing Diophantine equations in order to prevent from attacking by tamperers.

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