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Optimal Linear Codes and Their Hulls

Author

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  • Stefka Bouyuklieva

    (Faculty of Mathematics and Informatics, St. Cyril and St. Methodius University of Veliko Tarnovo, 5003 Veliko Tarnovo, Bulgaria)

  • Mariya Dzhumalieva-Stoeva

    (Faculty of Mathematics and Informatics, St. Cyril and St. Methodius University of Veliko Tarnovo, 5003 Veliko Tarnovo, Bulgaria)

Abstract

The hull of a linear code C is the intersection of C with its dual code. The goal is to study the dimensions of the hulls of optimal binary and ternary linear codes for a given length and dimension. The focus is on the lengths at which self-orthogonal (respectively, LCD) optimal codes exist at fixed dimension.

Suggested Citation

  • Stefka Bouyuklieva & Mariya Dzhumalieva-Stoeva, 2025. "Optimal Linear Codes and Their Hulls," Mathematics, MDPI, vol. 13(15), pages 1-22, August.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:15:p:2491-:d:1716213
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