Using matrices in cryptography

Session

Computer Science and Communication Engineering

Description

Data encryption has become a necessity with the increase in sensitive data being stored and transmitted through computers. Cryptography is the science of encoding and decoding messages, which is commonly used in everyday life to store sensitive information such as credit card numbers. Cryptography has many purposes, the first being to ensure the confidentiality of communication, then the integrity and authenticity. Cryptology is the use of algorithms and codes to increase the security of data. The study of cryptography requires proficiency in various mathematical concepts such as algebraic theory, probability, statistics, discrete mathematics, algebraic geometry, complex analysis, number theory, algorithms, binary numbers, prime factorization, and other key areas. A mathematical discipline used for data encryption in Cryptography is Linear Algebra, especially matrices operations. In this paper, our aim is to explore the applications of matrices in the fields of cryptography. The purpose of this paper is to show that mathematical concepts, in this case "matrices" are playing a major role in computer graphics, computer science and robotics. This study would be important to other researchers because the research findings of this study will benefit researchers with literature review to expand their research in the application of matrices. It helps address and provide background information for researchers who would like to conduct further research in this area.

Keywords:

Matrices, inverse matrices, cryptography, data encryption, data decryption

Proceedings Editor

Edmond Hajrizi

ISBN

978-9951-550-50-5

Location

UBT Kampus, Lipjan

Start Date

29-10-2022 12:00 AM

End Date

30-10-2022 12:00 AM

DOI

10.33107/ubt-ic.2022.269

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Oct 29th, 12:00 AM Oct 30th, 12:00 AM

Using matrices in cryptography

UBT Kampus, Lipjan

Data encryption has become a necessity with the increase in sensitive data being stored and transmitted through computers. Cryptography is the science of encoding and decoding messages, which is commonly used in everyday life to store sensitive information such as credit card numbers. Cryptography has many purposes, the first being to ensure the confidentiality of communication, then the integrity and authenticity. Cryptology is the use of algorithms and codes to increase the security of data. The study of cryptography requires proficiency in various mathematical concepts such as algebraic theory, probability, statistics, discrete mathematics, algebraic geometry, complex analysis, number theory, algorithms, binary numbers, prime factorization, and other key areas. A mathematical discipline used for data encryption in Cryptography is Linear Algebra, especially matrices operations. In this paper, our aim is to explore the applications of matrices in the fields of cryptography. The purpose of this paper is to show that mathematical concepts, in this case "matrices" are playing a major role in computer graphics, computer science and robotics. This study would be important to other researchers because the research findings of this study will benefit researchers with literature review to expand their research in the application of matrices. It helps address and provide background information for researchers who would like to conduct further research in this area.