THE METHOD OF CALCULATING HILL’S ALGORITHM THROUGH A MS EXCEL

Abstract

The article considers the need to teach students of technical
universities to solve problems of an applied orientation in teaching mathematics,
and in particular, the study of a matrix topic using applied problems. Applied
tasks occupy a special place in increasing students’ interest in mathematics,
the future professional profession. The use of computer technology in solving
mathematical and applied problems with the help of special programs is of great
importance. To protect confidential information from threats, it must be encrypted.
One of the encryption algorithms is Hill’s cryptosystem. Hill’s cryptosystem uses
a matrix of size ( ) as a secret key to encrypt and reverse encrypt confidential
data. In order to ensure the consistency of information, MS Excel is used to
increase the encryption speed and reverse encryption of confidential data in real
time using the Hill cryptosystem. The calculation of large matrices in the applied
problems presented in the article in MS Excel was calculated about 4.2 times
faster. The requirements of future information security specialists for applied tasks within the framework of mathematical training have been clarified. Hill
described the main advantages and disadvantages of the cryptosystem. Using the
matrix, methodological recommendations were demonstrated for optimizing the
generation of secret keys, encryption of secret text, reading methods of reverse
encryption of encrypted text and solving applied problems, a block diagram
of the Hill cryptosystem was created and implemented in MS Excel. Teaching
students of a technical university to solve professional problems of an applied
orientation in the course of mathematics opens a great way to their professional
development as a competent, qualified specialist. For this reason, this article is of
great importance.