Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

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A new approach to mathematical cryptography using the discrete ambiguity function
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Keywords

discrete ambiguity function
cryptography
symmetric keys
discrete Fourier transform
función discreta de ambigüedad
criptografía
claves simétricas
transformada discreta de Fourier

How to Cite

Soto-Quirós, J. P., & Rodríguez, D. (2019). A new approach to mathematical cryptography using the discrete ambiguity function. Revista De Matemática: Teoría Y Aplicaciones, 26(2), 281–297. https://doi.org/10.15517/rmta.v26i2.38319

Abstract

Through cryptography, be modified and hide certain information, so that only a certain group of people can interpret it through a key. When trying to use various fields of mathematics for this process, the concept of
mathematical cryptography is developed.

Most mathematical cryptographic methods focus on number theory. Also, there are other cryptographic methods in the area of quantum physics and algebraic geometry, particularly hyperelliptical curves defined over finite bodies and finite fields. This paper introduces a new method of mathematical cryptography with signal processing techniques, through of a dimensional harmonic representations such as the discrete ambiguity function. This paper uses two equivalent definitions in module discrete ambiguity
function.

This new cryptographic method uses the concept of symmetric key to making the process of encrypting and decrypting the message.

https://doi.org/10.15517/rmta.v26i2.38319
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ps (Español (España))
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