Use Cases for Ternary Encryption Methods

Balanced ternary encryption methods, such as Ternary Diffie-Hellman (TDH) and Ternary Elliptic Curve Cryptography (TECC), offer unique opportunities for novel applications due to their larger keyspace, higher entropy, and compatibility with ternary computation. One intriguing use case is steganography: hiding encrypted messages within seemingly innocuous files, such as images, audio, or video.

Below are some potential use cases, including the concept of steganography tools using ternary encryption combined with phonographic encoding inside images.

Example Workflow for Phonographic Ternary Steganography

Encryption Phase:

  1. Message Encryption:
    • Encrypt the plaintext message using TECC or TDH.
    • Output: Encrypted ternary message.
  2. Phonographic Conversion:
    • Convert the ternary message into an audio waveform (e.g., map `-1`, `0`, and `1` to low, mid, and high-frequency tones).
    • Output: Encoded phonographic signal.
  3. Image Embedding:
    • Embed the audio waveform into an image's pixel data using least significant bit (LSB) embedding or frequency-domain techniques.

Decryption Phase:

  1. Extract the phonographic signal from the image.
  2. Decode the ternary data from the signal.
  3. Decrypt the ternary message using the private key.

Conclusion

Ternary encryption methods such as TDH and TECC open up a range of innovative applications, including secure steganography tools that combine encryption and phonographic encoding. These methods provide enhanced security, higher entropy, and opportunities for covert communication across diverse mediums, making them an exciting frontier for cryptographic and steganographic research.