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Shortest Embeddings of Linear Codes with Arbitrary Hull Dimension

cs.IT · 2026-04-10 · unverdicted · novelty 7.0

Exact lengths of shortest t-dimensional hull embeddings for linear codes are derived via quadratic form theory and group theory, with algorithms that classify codes by Gram matrix types and yield new optimal codes.

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  • Shortest Embeddings of Linear Codes with Arbitrary Hull Dimension cs.IT · 2026-04-10 · unverdicted · none · ref 25

    Exact lengths of shortest t-dimensional hull embeddings for linear codes are derived via quadratic form theory and group theory, with algorithms that classify codes by Gram matrix types and yield new optimal codes.