Hulls of image and rank-distance linearized polynomial codes are given by rank(Φ) minus rank(G) or equivalent Gram determinants, with explicit LCD classifications and density tending to 1 as q grows.
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On the hull of linearized polynomial codes
Hulls of image and rank-distance linearized polynomial codes are given by rank(Φ) minus rank(G) or equivalent Gram determinants, with explicit LCD classifications and density tending to 1 as q grows.