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In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Scientists refer to the measure of randomness or disorder within a system as entropy. High entropy means high disorder and low energy. To better understand entropy, think of a student’s bedroom. If no energy or work were put into it, the room would quickly become messy. It would exist in a very disordered state, one of high entropy. Energy must be...
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The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
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A living cell's primary tasks of obtaining, transforming, and using energy to do work may seem simple. However, the second law of thermodynamics explains why these tasks are harder than they appear. None of the energy transfers in the universe are completely efficient. In every energy transfer, some amount of energy is lost in a form that is unusable. In most cases, this form is heat energy. Thermodynamically, heat energy is defined as the energy transferred from one system to another that...
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The process of surrounding a solute with solvent is called solvation. It involves evenly distributing the solute within the solvent. The rule of thumb for determining a solvent for a given compound is that like dissolves like. A good solvent has molecular characteristics similar to those of the compound to be dissolved. For example, polar solutions dissolve polar solutes, and apolar solvents dissolve apolar solutes. A polar solvent is a solvent that has a high dielectric constant (ϵ...
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The Odyssey of Entropy: Cryptography.

Behrouz Zolfaghari1, Khodakhast Bibak2, Takeshi Koshiba3

  • 1Cyber Science Lab, School of Computer Science, University of Guelph, Guelph, ON N1G 2W1, Canada.

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Entropy, a measure of disorder, is crucial in information theory. This review explores its applications in cryptography, covering design, implementation, and evaluation, and outlines future research directions.

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Area of Science:

  • Information Theory
  • Cryptography
  • Computer Science

Background:

  • Entropy, introduced by Shannon, quantifies disorder and unavailable information.
  • Information-theoretical concepts have broad applications across scientific disciplines.
  • The study focuses on the intersection of entropy and cryptographic systems.

Purpose of the Study:

  • To systematically review the applications of entropy in cryptography.
  • To analyze existing trends in the use of information theory in cryptographic design, implementation, and evaluation.
  • To establish a roadmap for future research in this domain.

Main Methods:

  • Systematic literature review.
  • Analysis of information-theoretical concepts applied to cryptographic schemes, algorithms, devices, and systems.
  • Trend analysis and identification of research gaps.

Main Results:

  • Entropy and related concepts are integral to cryptographic design and evaluation.
  • Identified key applications in ensuring randomness, security, and efficiency of cryptographic systems.
  • Current trends highlight the increasing importance of information-theoretic security proofs.

Conclusions:

  • Entropy provides a fundamental framework for understanding and enhancing cryptographic security.
  • The review consolidates current knowledge and identifies critical areas for future cryptographic research.
  • Future work should focus on novel applications of entropy in post-quantum cryptography and secure multi-party computation.