Two New Zero-Dimensional Qubit Codes from Bordered Metacirculant Construction

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.

arXiv commentshort note, to appear in Discrete Mathematics