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Block Cipher's Substitution Box Generation Based on Natural Randomness in Underwater Acoustics and Knight's Tour

Muhammad Fahad Khan1,2, Khalid Saleem1, Tariq Shah3

  • 1Department of Computer Science, Quaid-i-Azam University, Islamabad, Pakistan.

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This study introduces a novel method for creating strong substitution boxes (S-boxes) for block ciphers by using true randomness from underwater acoustic waves. This approach offers enhanced security against cryptanalysis, outperforming existing methods.

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Area of Science:

  • Cryptography
  • Information Security
  • Signal Processing

Background:

  • Block ciphers rely on substitution boxes (S-boxes) for security, with current methods using algebraic or chaos-based techniques.
  • These existing S-box construction methods are vulnerable to various sophisticated cryptanalytic attacks.
  • There is a need for novel S-box designs that offer robust resistance against known attacks.

Purpose of the Study:

  • To design a novel technique for dynamically generating S-boxes that are resistant to cryptanalysis.
  • To explore the use of true randomness from natural sources for cryptographic primitive design.
  • To address the limitations and vulnerabilities of current algebraic and chaos-based S-box construction methods.

Main Methods:

  • Extraction of true random bits from underwater acoustic waves.
  • Dynamic generation of S-boxes utilizing a novel chain of knight's tour technique.
  • Rigorous testing of generated true random numbers using the NIST randomness test suite.
  • Evaluation of the security strength of the dynamically generated S-boxes against contemporary S-boxes.

Main Results:

  • Underwater acoustic waves provide an impeccable entropy source for generating true random numbers.
  • The proposed method for S-box generation satisfies standard evaluation tests for both randomness and S-box construction.
  • Dynamically generated S-boxes demonstrate equal or superior security strength compared to the latest published S-boxes (2020-2021).

Conclusions:

  • The research successfully demonstrates the feasibility of using natural randomness from underwater acoustic waves for secure S-box construction.
  • The novel technique offers a promising, highly secure alternative to existing algebraic and chaos-based S-box generation methods.
  • This study pioneers the use of underwater acoustic wave randomness in block cipher substitution box design.