A new approach to mathematical cryptography using the discrete ambiguity function

 

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Autores: Soto-Quirós, Juan Pablo, Rodríguez, Domingo
Formato: artículo original
Estado:Versión publicada
Data de Publicação:2019
Descrição: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 ofmathematical 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 ambiguityfunction. This new cryptographic method uses the concept of symmetric key to making the process of encrypting and decrypting the message.
País:Portal de Revistas UCR
Recursos:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Idioma:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/38319
Acesso em linha:https://revistas.ucr.ac.cr/index.php/matematica/article/view/38319
Palavra-chave:discrete ambiguity function
cryptography
symmetric keys
discrete Fourier transform
función discreta de ambigüedad
criptografía
claves simétricas
transformada discreta de Fourier