Study on Computer Applications of Number Theory: New Study on Congruence in Mathematical Modeling
Keywords:
Number theory, computer science, linear congruence, Cryptography, Hamming code, Hashing functionAbstract
In this research, we are going to discuss about the computer application of congruence in number theory which plays a crucial role in different fields (Cryptography, Error detection by hamming code, Conversion of different base of numbers, Hashing function) of computer science. We found that the how linear congruence helps in number conversion among decimal, binary, octal and hexadecimal number system which is important for digital technology. We also study its role in cryptography using the RSA algorithm. Dealing with encryption and decryption. In this study, we see the use of congruence by Hamming code for error detection, which is effective in ensuring the data integrity. We use hashing function because it is easily computable and is utilized in encryption to guarantee the integrity of data.
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