Closed-form ratio decompositions for linear codes with fixed Hermitian and symplectic hull dimensions over finite fields, with uniform lower bound 2/3 for Hermitian and asymptotic decay to 1/q² for symplectic, implying monotonicity for quantum code constructions.
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Comparative monotonicity of linear codes by Hermitian and symplectic hull dimensions
Closed-form ratio decompositions for linear codes with fixed Hermitian and symplectic hull dimensions over finite fields, with uniform lower bound 2/3 for Hermitian and asymptotic decay to 1/q² for symplectic, implying monotonicity for quantum code constructions.