The Isometry-Dual Property in Flags of Two-Point Algebraic Geometry Codes
The Isometry-Dual Property in Flags of Two-Point Algebraic Geometry Codes
A flag of codes <inline-formula> <tex-math notation="LaTeX">$C_{0} \subsetneq C_{1} \subsetneq \cdots \subsetneq C_{s} \subseteq \mathbb {F}_{q} ^{n}$ </tex-math></inline-formula> is said to satisfy the <i>isometry-dual property</i> if there exists <inline-formula> <tex-math notation="LaTeX">${\mathbf{x}}\in (\mathbb {F}_{q}^{*})^{n}$ </tex-math></inline-formula> such that the code <inline-formula> <tex-math notation="LaTeX">$C_{i}$ </tex-math></inline-formula> is <b>x</b>-isometric to the dual code <inline-formula> <tex-math …