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Quasi-Cyclic Constructions of Quantum Codes
December 19, 2017 Β· Declared Dead Β· π Finite Fields Their Appl.
"No code URL or promise found in abstract"
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Authors
Carlos Galindo, Fernando Hernando, Ryutaroh Matsumoto
arXiv ID
1712.06907
Category
cs.IT: Information Theory
Cross-listed
quant-ph
Citations
50
Venue
Finite Fields Their Appl.
Last Checked
5 months ago
Abstract
We give sufficient conditions for self-orthogonality with respect to symplectic, Euclidean and Hermitian inner products of a wide family of quasi-cyclic codes of index two. We provide lower bounds for the symplectic weight and the minimum distance of the involved codes. Supported in the previous results, we show algebraic constructions of good quantum codes and determine their parameters.
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