3 papers
cs.IT2019
On Steane-Enlargement of Quantum Codes from Cartesian Product Point Sets
René Bødker Christensen, Olav Geil
In this work, we study quantum error-correcting codes obtained by using Steane-enlargement. We apply this technique to certain codes defined from Cartesian products previously cons…
cs.IT2019
Steane-Enlargement of Quantum Codes from the Hermitian Curve
René Bødker Christensen, Olav Geil
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 Herm…
cs.IT2018
On nested code pairs from the Hermitian curve
René Bødker Christensen, Olav Geil
Nested code pairs play a crucial role in the construction of ramp secret sharing schemes [Kurihara et al. 2012] and in the CSS construction of quantum codes [Ketkar et al. 2006]. T…