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Linear time-invariant Systems01:23

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A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
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Updated: Nov 27, 2025

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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A New Efficient Digital Image Encryption Based on Inverse Left Almost Semi Group and Lorenz Chaotic System.

Irfan Younas1, Majid Khan2,3

  • 1Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan.

Entropy (Basel, Switzerland)
|December 3, 2020
PubMed
Summary

This study introduces an inverse left almost semigroup (LA-semigroup) for enhanced image encryption. The new method improves information security and performance using chaotic systems.

Keywords:
chaotic systemsconfusion and diffusioninverse left almost semigroupstatistical analysis

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Area of Science:

  • Computer Science
  • Cryptography
  • Information Security

Background:

  • Image encryption is crucial for secure data transmission.
  • Existing methods may lack robust diffusion characteristics.
  • Chaotic systems offer potential for complex encryption algorithms.

Purpose of the Study:

  • To propose a novel image encryption scheme using inverse left almost semigroups (LA-semigroups).
  • To enhance diffusion properties by integrating discrete and continuous chaotic systems.
  • To evaluate the security and performance of the proposed encryption algorithm.

Main Methods:

  • Development of a new mathematical structure: inverse left almost semigroup (LA-semigroup).
  • Integration of discrete and continuous chaotic systems for diffusion.
  • Performance evaluation using correlation analysis, pixel uniformity, sensitivity, and information entropy analysis.

Main Results:

  • The proposed algorithm demonstrates strong information security properties.
  • Effective complementation of diffusion characteristics was achieved.
  • High performance in terms of security metrics was observed.

Conclusions:

  • The inverse left almost semigroup (LA-semigroup) based image encryption scheme offers superior security.
  • The integration of chaotic systems effectively enhances diffusion.
  • The algorithm provides a robust solution for secure image transmission.