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Two New Zero-Dimensional Qubit Codes from Bordered Metacirculant Construction

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arxiv 2105.13021 v1 pith:PDVW7CXX submitted 2021-05-27 cs.IT math.IT

Two New Zero-Dimensional Qubit Codes from Bordered Metacirculant Construction

classification cs.IT math.IT
keywords codesmetacirculantqubitadditiveadjacencyborderedbuiltconstruct
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We construct qubit stabilizer codes with parameters $[[81, 0, 20]]$ and $[[94, 0, 22]]$ for the first time. We use symplectic self-dual additive codes over $\mathbb{F}_4$ built by modifying the adjacency matrices of suitable metacirculant graphs found by a randomized search procedure.

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