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Synthetic division is an efficient algorithmic approach for dividing a polynomial by a linear binomial of the form x - c, where c is a real number. This method is helpful due to its streamlined process, which avoids the more cumbersome steps involved in the traditional long division of polynomials. It simplifies computation and serves as a practical tool for evaluating polynomials and identifying their factors.To perform synthetic division, one begins by listing the coefficients of the...
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A DNA-based color image cryptosystem using chaotic maps, spiral mixing and non-linear binary operator.

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This study introduces a secure color image encryption method using a novel non-linear binary function and DNA techniques. The proposed cryptosystem enhances image security against various attacks, ensuring safe image transmission.

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Area of Science:

  • Computer Science
  • Cryptography
  • Image Processing

Background:

  • Image cryptosystems are crucial for secure data transmission against network adversaries.
  • Traditional image encryption methods often use complex confusion-diffusion architectures and have limitations.
  • DNA operations and chaotic maps are increasingly utilized in image encryption.

Purpose of the Study:

  • To develop a secure and robust color image encryption and decryption scheme.
  • To propose a novel non-linear binary function applicable to both traditional and DNA-based image cryptosystems.
  • To enhance resistance against differential and other cryptographic attacks.

Main Methods:

  • A non-linear binary function is applied to color image components.
  • Techniques include inter-channel mixing, row mixing, Arnold's cat map shuffling, and novel spiral pixel mixing.
  • DNA encoding, substitution, decoding, and a multiple collapse chaotic map are utilized for key generation and encryption/decryption processes.

Main Results:

  • The proposed cryptosystem generates unintelligible cipher images.
  • Experimental analysis confirms the scheme's resistance to various cryptographic attacks.
  • The method provides a secure approach for color image encryption and decryption.

Conclusions:

  • The developed color image cryptosystem offers enhanced security and robustness.
  • The integration of a non-linear binary function with DNA techniques proves effective.
  • The scheme provides a reliable solution for secure image transmission in adversarial networks.