This analysis studies dimensions of the hulls of optimal linear codes, indicating the characteristics of self-orthogonal and LCD codes.
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.
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Bouyuklieva et al. (2025) studied this question.
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