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Arctic rank preservers of symmetric matrices and cybersecurity

  • Proyecto

A research the properties of Boolean arctic rank and perimeter and we classify the linear operators that preserve these matrix properties. The main objectives of this project are:

a. To investigate the properties on Boolean arctic rank of symmetric matrices. This Boolean symmetric matrix acts important role in linear algebra, graph theory, mathematical cryptography, engineering security technology and cyber security of data and information. In particular, we study the properties on the Boolean symmetric matrices and the linear operators that preserve this Boolean arctic rank and perimeter.

b. To investigate the properties of general Boolean symmetric matrix. In particular, we study the properties of general boolean arctic rank and we classify the linear operators that preserve this general Boolean arctic rank. We also investigate the properties of some matrix functions and determine the linear operators that preserve some matrix functions.

c. To study on the cyber security of data and information using the matrix theory. We hope to contribute the study of "linear preserver problems" by our research on the Boolean arctic rank and perimeter. We aim for applying these results to obtain theoretical basis for the researches of mathematical cryptography, engineering security technology and cyber security of data and information.

Jeju University of Korea, Instituto de Tecnologías Físicas y de la Información (ITEFI) del CSIC

Datos del proyecto

NRF-20170929700
NRF Joint Research Program
OPE01565. NRF_2017
Investigador principal
Luis Hernández Encinas
Inicio: 20-12-2017 Finalización: 19-12-2018
GiCSI
Acoustics and Non Destructive Evaluation (DAEND)
  • Environmental Acoustics (GAA)
  • G Carma: Materials Characterization by Non Destructive Evaluation
  • ULAB, Ultrasounds for Liquid Analysis and Bioengineering
Information and Communication Technologies (TIC)
  • Cybersecurity and Privacy Protection Research Group (GiCP)
  • Research group on Cryptology and Information Security (GiCSI)
    • Quantum Communications Laboratory (LCQE)
  • Multichannel Ultrasonic Signal Processing Group (MUSP)
Sensors and Ultrasonic Systems (DSSU)
  • Ultrasonic Systems and Technologies (USTG)
  • Nanosensors and Smart Systems (NoySi)
  • Ultrasonic Resonators for cavitation and micromanipulation (RESULT)
  • Advanced Sensor Technology (SENSAVAN)
  • Quantum Electronics (QE)
Laboratorios
  • Laboratorio de Acústica
  • Laboratorio de Metrología Ultrasónica Médica (LMUM)
  • Laboratorio de Comunicaciones Cuánticas
  • Laboratory for International Collaboration in Advanced Biophotonics Imaging

Instituto de Tecnologías Físicas y de la Información Leonardo Torres Quevedo  - ITEFI
C/ Serrano, 144. 28006 - Madrid • Tel.: (+34) 91 561 88 06  Contacto  •  Intranet
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