A new \((k;n)\) secret sharing symmetric-key cryptographic method using ASCII conversion and Laplace transforms

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DOI:

https://doi.org/10.26637/MJM0803/0082

Abstract

In this paper we proposed a new encryption algorithm for secret sharing, in which we have used Laplace transform and Lagrangian interpolation for encryption and decryption. We also use a revised form of \((K, n)\) threshold scheme for ensure security.

Keywords:

Cryptography, Encryption, Decryption, Plain Text, Cipher Text, Key, Laplace Transform

Mathematics Subject Classification:

Mathematics
  • Binoy Joseph Mathematics Research Center, Mary Matha Arts and Science College Mananthavady-670645, affiliated to Kannur University, Kerala, India.
  • Bindhu K. Thomas Mathematics Research Center, Mary Matha Arts and Science College Mananthavady-670645, affiliated to Kannur University, Kerala, India.
  • Pages: 1203-1205
  • Date Published: 01-07-2020
  • Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

A.P. Hiwarekar, Application of Laplace Transform for Cryptography, IJESR, 5(2015), 129-135.

C.H. Jayanthi and V. Srinivas, Mathematical Modelling for Cryptography using Laplace Transform. IJMTT, $65(2019)(2), 10-15$.

A. Shamir, How to share a secret, Communications of the Association for Computing Machinery, 22 (1979), $612-613$.

G. R. Blakely, Safeguarding cryptographic keys. Proceedings of the National Computer Conference, 48(1979), $313-317$.

Erwin Kreyszig, Advanced Engineering Mathematics Eighth Edition, John Wiley and Sons, INC , (2010), 250258.

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Published

01-07-2020

How to Cite

Binoy Joseph, and Bindhu K. Thomas. “A New \((k;N)\) Secret Sharing Symmetric-Key Cryptographic Method Using ASCII Conversion and Laplace Transforms”. Malaya Journal of Matematik, vol. 8, no. 03, July 2020, pp. 1203-5, doi:10.26637/MJM0803/0082.