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Two New Zero-Dimensional Qubit Codes from Bordered Metacirculant Construction

Published 27 May 2021 in cs.IT and math.IT | (2105.13021v1)

Abstract: 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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