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Sequence of numbers of linear codes with increasing hull dimensions | Synapse
March 3, 2026
Sequence of numbers of linear codes with increasing hull dimensions
SB
Stefka Bouyuklieva
St. Cyril and St. Methodius University of Veliko Tarnovo
IB
Iliya Bouyukliev
St. Cyril and St. Methodius University of Veliko Tarnovo
FÖ
Ferruh Özbudak
Key Points
The study identifies unique patterns in the sequence of linear codes, particularly related to hull dimensions.
Findings suggest that as the code length increases, the hull dimension also tends to grow, reflecting improved error correction.
Observational analysis of linear codes reveals combinatorial structures common across various sequences.
The exploration may provide valuable insights into code design, with implications for technologies reliant on error correction.
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Bouyuklieva et al. (Thu,) studied this question.
synapsesocial.com/papers/69a75e0cc6e9836116a286a1
https://doi.org/https://doi.org/10.1007/s10623-025-01776-9
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