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
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.
- Intermediate Constacyclic Codes and Scalar-Residue Reed--Muller Layers