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February 28, 2026Mathematics0 citationsOpen Access

Hulls of Linear Codes Over Non-Unitary Rings of Order Four

Hulls of Linear Codes over Non-Unitary Rings of Four Elements

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Authors

SMSarra ManseriCentral China Normal UniversityPSP. SoleCentre National de la Recherche ScientifiqueAAAdel Alahmadi

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Overview

Explores hull characteristics of linear codes in non-unitary rings, revealing key connections.

Key Points

  • The research focuses on understanding the hull of linear codes in non-unitary rings of order four.
  • Determined binary associated codes of the hull for each non-unitary ring.
  • Characterized the hulls in relation to these binary codes.
  • Established connections between the hull of a linear code and its dual.
  • Classified linear codes over each ring by hull sizes and permutation equivalence.
  • Identified unique characteristics of hulls for linear codes across the studied rings.
  • Demonstrated relationships between hulls of linear codes and their duals.
  • Classified various linear codes based on hull sizes for short lengths with permutation equivalence.
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Cite This Study

Manseri et al. (2026) studied this question.

synapsesocial.com/papers/69a286850a974eb0d3c01780https://doi.org/10.3390/math14050788
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