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Permutation-Based Block Code for Short Packet Communication Systems.

Emil Faure1,2, Anatoly Shcherba1, Mykola Makhynko3

  • 1Faculty of Information Technology and Systems, Cherkasy State Technological University, 18006 Cherkasy, Ukraine.

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|July 27, 2022
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Summary
This summary is machine-generated.

This study introduces a statistical method for constructing block error-correcting codes using permutations, crucial for machine-type communication networks. The new approach efficiently estimates code size, improving data transmission reliability.

Keywords:
block error-correcting codecode sizecodewordfactorial codepermutationpermutation codesecure channel coding scheme

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Area of Science:

  • Information Theory
  • Coding Theory
  • Computer Science

Background:

  • Machine-type communication networks require robust error-correcting codes for dynamic structures and unique alerts.
  • Existing algebraic methods for code construction are insufficient for short packets in such networks.

Purpose of the Study:

  • To develop a novel statistical method for constructing block error-correcting codes.
  • To investigate the code size dependencies using permutations.
  • To contrast the statistical approach with traditional algebraic methods.

Main Methods:

  • Developed an algorithm for generating codewords based on permutations with a minimum Hamming distance.
  • Employed enumeration of full and randomly selected permutation subsets.
  • Determined code size dependencies experimentally.
  • Developed approximation quadratic polynomials to model code size.

Main Results:

  • Established experimental dependencies between code size and the subset of permutations used.
  • Created approximation polynomials to estimate code size for large permutation subsets.
  • Achieved a prediction relative error below 0.72% for permutation length 11.

Conclusions:

  • The statistical method provides an effective approach for constructing block error-correcting codes.
  • The developed polynomial approximation technique accurately estimates code size.
  • This method enhances data transmission reliability in machine-type communication networks.