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The paper Projective Plane and Planar Quantum Codes lists three non-equivalent $ [[9,1,3]] $ CSS codes coming from different cellulations of the projective plane (Figures 2, 3 and 4). The code from Figure 4 is the Shor code.

In the answer here https://quantumcomputing.stackexchange.com/a/27699/19675 Adam Zalcman lists yet another $ [[9,1,3]] $ surface code with explicit stabilizer generators given in the comments.

Is it possible that all $ [[9,1,3]] $ CSS codes are surface codes?

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Not sure if this is too trivial, but take the $[[7,1,3]]$ code and add two dummy qubits.

squiggles
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