Published November 30, 2021 | Version v1
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A Cryptographic Application of the M-Injectivity of 𝑀𝑛(𝑍𝑝) Over Itself

  • 1. Assistant Professor, Department of Mathematics, St. Anthony's College, Shillong, Meghalaya, India.
  • 2. Associate Professor, Department of Basic Sciences and Social Sciences, School of Technology, North Eastern Hill University, Shillong, Meghalaya, India.
  • 1. Publisher

Description

In this paper, we present a public key scheme using Discrete Logarithm problem, proposed by Diffie and Hellman (DLP)[1], particularly known as the Computational Diffie-Hellman Problem (CDH)[12]. This paper uses the Elgamal encryption scheme [6] and extends it so that more than one message can be sent. The combination of Hill Cipher[14 ] and the property of the matrix ring 𝑴𝒏(𝒁𝒑), of being left m-injective over itself, where 𝒑 is a very large prime, are major contributions towards the proposal of this scheme.

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Journal article: 2277-3878 (ISSN)

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ISSN
2249-8958
Retrieval Number
100.1/ijrte.D65151110421