Dihedral Quantum Codes

• URL: http://arxiv.org/abs/2310.15092v2
• Date: Thu, 16 May 2024 13:22:11 GMT
• Title: Dihedral Quantum Codes
• Authors: Nadja Willenborg, Martino Borello, Anna-Lena Horlemann, Habibul Islam,
• Abstract summary: We present the code construction and give a formula for the code dimension, depending on the two classical codes that the CSS code is based on. We also give a lower bound on the code distance and construct an example of short dihedral quantum codes.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We establish dihedral quantum codes of short block length, a class of CSS codes obtained by the lifted product construction. We present the code construction and give a formula for the code dimension, depending on the two classical codes that the CSS code is based on. We also give a lower bound on the code distance and construct an example of short dihedral quantum codes.

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