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Modeling and simulation of a Tamil language encoder for advanced encryption technologies.

Shan Suthaharan1

  • 1UNC Greensboro, Greensboro, NC 27402, USA.

Patterns (New York, N.Y.)
|July 31, 2023
PubMed
Summary

This study introduces a Tamil language (TL) encoder to improve advanced encryption standard (AES) security. By mapping Tamil sounds to prime factors and forming a Galois field, the TL encoder significantly enhances AES cryptographic strength.

Keywords:
Galois fieldHardy-Ramanujan numberShannon’s ideaTamil languageconfidentialityconfusiondiffusionencryptionpattern recognitionplanets

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Area of Science:

  • Cryptography
  • Number Theory
  • Computational Linguistics

Background:

  • Advanced encryption technologies require robust security measures.
  • The Advanced Encryption Standard (AES) is a widely used symmetric encryption algorithm.
  • Exploring novel methods to enhance cryptographic strength is crucial.

Purpose of the Study:

  • To develop a Tamil language (TL) encoder for enhancing AES cryptographic strengths.
  • To establish a mathematical framework connecting Tamil language elements with number theory.
  • To evaluate the impact of the TL encoder on AES security.

Main Methods:

  • Defined a product set of Tamil vowel and consonant sounds.
  • Established a one-to-one mapping between Tamil letters and Hardy-Ramanujan prime factors.
  • Formulated a Galois field GF(2^8) using Tamil letters and digits 1-9 over an irreducible polynomial.
  • Modeled the TL encoder and integrated it into the AES pre-round transformation.
  • Assessed cryptographic strengths using runs test scores on AES cipher bit sequences.

Main Results:

  • The TL encoder demonstrated a connection between Tamil phonetics, prime factorization, and finite fields.
  • Integration of the TL encoder into AES improved cryptographic strengths at each encryption stage.
  • Comparative analysis showed enhanced security compared to standard AES and English language-based approaches.

Conclusions:

  • The proposed TL encoder effectively enhances the cryptographic strength of the Advanced Encryption Standard.
  • The mathematical properties derived from the Tamil language provide a novel foundation for cryptographic advancements.
  • This research opens new avenues for language-specific cryptographic solutions.