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Encrypted audio dataset based on the Collatz conjecture.

Diego Renza1, Sebastian Mendoza1, Dora M Ballesteros L1

  • 1Universidad Militar Nueva Granada, Colombia.

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This study introduces a novel audio encryption method using the Collatz conjecture, transforming speech recordings into unintelligible files. The encrypted audio exhibits distinct statistical properties compared to natural speech, enhancing information security.

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Area of Science:

  • Information Security
  • Cryptography
  • Signal Processing

Background:

  • Encryption is crucial for securing sensitive information.
  • Altering content to unintelligibility ensures only authorized access.
  • Novel encryption methods are needed for diverse data types like audio.

Purpose of the Study:

  • To demonstrate a new audio encryption technique.
  • To analyze the characteristics of encrypted audio data.
  • To compare encrypted audio properties with natural speech.

Main Methods:

  • Applied a Collatz conjecture-based encryption method.
  • Processed five hundred speech recordings (50 speakers, 10 messages).
  • Obtained five hundred encrypted audio files for analysis.

Main Results:

  • Encrypted audio shows a quasi-uniform spectrogram and repetitive histogram patterns.
  • Statistical analysis reveals average sample -0.4, std dev 0.55, Shannon entropy ~7.5.
  • Encrypted signals differ significantly from natural speech (e.g., Gaussian histogram, lower std dev).

Conclusions:

  • The Collatz conjecture provides a novel approach for audio encryption.
  • Encrypted audio signals exhibit unique, non-natural statistical properties.
  • This method offers a distinct alternative for securing audio data.