General Mathematics

   

Polynomial Encryption

Authors: Yeray Cachón Santana

This paper proposes a new method to encrypt and decrypt a message by special functions formed by Hermite, Laguerre, Tchebychev and Bessel The idea to encrypt a message will be by using base changes from the Taylor base to the bases of those special functions. The Hermite, Lagurrre, Tchebychev and Bessel polynomials are orthogonal, so they form a base set on a Hilbert space. The encryption will be using several sequences of those base changes according to a number sequence. According to Hilbert space, as those are orthogonal polynomials, those functions form a orthogonal base. So, a change base can be done between a Taylor base and those bases - this is the method that will be used in order to encrypt a message.

Comments: 12 Pages. Feel free to send any comment to ycachon@gmail.com

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Submission history

[v1] 2018-05-20 06:56:08

Unique-IP document downloads: 18 times

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