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Use of Number Theory in Cryptography and Network Security

IRIS                       

Journal for Young Scientists

ISSN 2278-618X (Print)

ISSN 2278-6384 (Online)

© Patna Women’s College, Patna, India

http://www.patnawomenscollege.in/journal

Use of Number Theory in Cryptography and Network Security

 • Priya Raj • Shreya Kumari • Swati Kumari • Alka Kumari

Received                  : July, 2022

Accepted                 : August, 2022

Corresponding Author   : Alka Kumari

Abstract: We are living in an information society. As information and communication technologies are developing, the threats related to leakage of confidential information, the theft of identities and the unauthorized modification of data is also increasing day by day. This shows a need for trustworthy information system which can be implemented by network security technologies, and an essential building blocks for such system is cryptography. The aim of cryptography is to send messages over any communication medium so that only the intended recipient of the message can read it.

The privacy of data is a big concern for everybody. It is an emerging technology which is very important to give security to the network. This paper focuses on how various techniques of cryptography can enhance security of the network, so that any confidential messages can be exchanged by two parties without any worry of adversary.

Keywords: Encryption, Decryption, Public key cryptosystem, Network security, Number theory, RSA cryptosystem, One- time pad.

Priya Raj

B.Sc. Ill year, Mathematics (Hons.), Session:2019-2022,

Patna Women’s College (Autonomous),

Patna University, Patna, Bihar, India

Shreya Kumari

B.Sc. III year, Mathematics (Hons.), Session:2019-2022,

Patna Women’s College (Autonomous),

Patna University, Patna, Bihar, India

Swati Kumari

B.Sc. III year, Mathematics (Hons.), Session: 2019-2022,

Patna Women’s College (Autonomous),

Patna University, Patna, Bihar, India

Alka Kumari

Head, Department of Mathematics

Patna Women’s College (Autonomous),

Bailey Road, Patna-800001, Bihar, India

E-mail: alka.math@patnawomenscollege.in