Cryptography using Laplace transform for the Serbian language

  • Tatjana Mirković School of Electrical Engineering, University of Belgrade
  • Nataša Ćirović School of Electrical Engineering, University of Belgrade
Keywords: crptography, Laplace transform, inverse trigonometric function, Taylor series

Abstract


Introduction/purpose: In this paper authors develop a new mathematical method for cryptography. The procedure was performed for messages written in the Serbian language, which consists of 30 phonemes.

Methods: The standard expansion of the inverse trigonometric function in a Taylor series was used. The Laplace transform was applied to encrypt the plaintext, while the corresponding inverse Laplace transform was used for decryption.

Results: A new cryptographic algorithm has been written to encrypt and decrypt a text message written in Serbian letters.

Conclusion: In the paper the authors presented a new algorithm in which the Laplace transform was used for the encryption and description of a message. The message is written in Serbian in Cyrillic letters.

Author Biography

Nataša Ćirović, School of Electrical Engineering, University of Belgrade

Vanredni profesor, Departman za Matematiku

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Published
2026/01/22
Section
Original Scientific Papers