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Steane-Enlargement of Quantum Codes from the Hermitian Curve
April 22, 2019 Β· Declared Dead Β· π Des. Codes Cryptogr.
"No code URL or promise found in abstract"
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Authors
RenΓ© BΓΈdker Christensen, Olav Geil
arXiv ID
1904.10007
Category
cs.IT: Information Theory
Citations
1
Venue
Des. Codes Cryptogr.
Last Checked
4 months ago
Abstract
In this paper, we study the construction of quantum codes by applying Steane-enlargement to codes from the Hermitian curve. We cover Steane-enlargement of both usual one-point Hermitian codes and of order bound improved Hermitian codes. In particular, the paper contains two constructions of quantum codes whose parameters are described by explicit formulae, and we show that these codes compare favourably to existing, comparable constructions in the literature.
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