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Ramp secret image sharing.

Xue Hu Yan1, Long Long Li1, Lin Tao Liu1

  • 1National University of Defense Technology, Hefei 230037, China.

Mathematical Biosciences and Engineering : MBE
|September 11, 2019
PubMed
Summary
This summary is machine-generated.

This study introduces a new ramp secret image sharing (SIS) scheme. It allows progressive or lossless secret image recovery based on the number of collected shares, utilizing modular arithmetic for efficiency.

Keywords:
Chinese remainder theoremlossless recoveryprogressivenessramp secret image sharingsecret image sharing

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Area of Science:

  • Cryptography
  • Information Security
  • Computer Science

Background:

  • Secret Image Sharing (SIS) is distinct from traditional secret sharing.
  • Conventional (k,n) threshold SIS suffers from an 'all-or-nothing' disclosure problem.

Purpose of the Study:

  • To introduce the concept of ramp SIS.
  • To propose a novel (k1,k2,n) ramp SIS scheme.
  • To enable progressive and lossless secret image recovery.

Main Methods:

  • The proposed scheme is based on the Chinese Remainder Theorem (CRT).
  • It employs modular arithmetic for secret image disclosure.
  • Theoretical analysis and experimental validation are conducted.

Main Results:

  • The scheme supports progressive disclosure of the secret image with k1 or more, but less than k2, shares.
  • Lossless disclosure of the secret image is achieved with k2 or more shares.
  • The modular arithmetic-based disclosure method is suitable for real-time applications.

Conclusions:

  • The proposed (k1,k2,n) ramp SIS scheme effectively addresses the limitations of conventional SIS.
  • It offers flexible and efficient secret image recovery mechanisms.
  • The scheme demonstrates practical applicability in real-time scenarios.