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Secure Message Transmission using Lagrange Polynomial Interpolation and Huffman Coding

by R. Siva Ranjani, D. Lalitha Bhaskari, P. S. Avadhani
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 55 - Number 1
Year of Publication: 2012
Authors: R. Siva Ranjani, D. Lalitha Bhaskari, P. S. Avadhani
10.5120/8721-2593

R. Siva Ranjani, D. Lalitha Bhaskari, P. S. Avadhani . Secure Message Transmission using Lagrange Polynomial Interpolation and Huffman Coding. International Journal of Computer Applications. 55, 1 ( October 2012), 32-35. DOI=10.5120/8721-2593

@article{ 10.5120/8721-2593,
author = { R. Siva Ranjani, D. Lalitha Bhaskari, P. S. Avadhani },
title = { Secure Message Transmission using Lagrange Polynomial Interpolation and Huffman Coding },
journal = { International Journal of Computer Applications },
issue_date = { October 2012 },
volume = { 55 },
number = { 1 },
month = { October },
year = { 2012 },
issn = { 0975-8887 },
pages = { 32-35 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume55/number1/8721-2593/ },
doi = { 10.5120/8721-2593 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:56:10.915181+05:30
%A R. Siva Ranjani
%A D. Lalitha Bhaskari
%A P. S. Avadhani
%T Secure Message Transmission using Lagrange Polynomial Interpolation and Huffman Coding
%J International Journal of Computer Applications
%@ 0975-8887
%V 55
%N 1
%P 32-35
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, an algorithm for secure transmission of message is proposed based on Lagrange's interpolation. The message is viewed as a polynomial of degree n where n is kept secret and transmitted to the receiver's side using the concept of a digital envelope. As any nth degree polynomial is uniquely determined by n+1 points, n +1 points are communicated to the other side, where the polynomial and hence the message is reconstructed. Padding of length m is added to the message to overcome the message length issue. Although any coding scheme may be used, in this paper Huffman coding is used for converting the plaintext into binary form. Finally, the proposed algorithm is compared with the performance of RSA algorithm and found to be efficient.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Lagrange interpolation Hamming code Padding polynomial digital envelope RSA

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