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September 10, 2025MathematicsOpen Access

Optimal Linear Codes and Their Hulls

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Authors

SBStefka BouyuklievaMDMariya Dzhumalieva-Stoeva

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Overview

This analysis studies dimensions of the hulls of optimal linear codes, indicating the characteristics of self-orthogonal and LCD codes.

Key Points

  • The study investigates the dimensions of hulls formed by optimal linear codes and their dual codes.
  • Optimal binary and ternary linear codes exist at specific lengths and dimensions, with particular focus on self-orthogonal and LCD codes.
  • Analysis involves determining the conditions for hull formation in relation to length and fixed dimension of the codes.
  • Findings may inform the development of more efficient coding strategies in information theory.

Cite This Study

Bouyuklieva et al. (2025) studied this question.

synapsesocial.com/papers/68c1b19354b1d3bfb60e8db6https://doi.org/10.3390/math13152491
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Also Consider

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  1. 1Hulls of Linear Codes over Non-Unitary Rings of Four Elements2026
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  3. 3On Linear Codes Whose Hermitian Hulls are MDS2024 · 5 citations
  4. 4New ternary LCD cyclic and BCH codes2024
  5. 5Construction of Larger Dimensional Hulls of BCH Codes with Length $n=\frac{q^4-1}{q+1}$2024