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arXiv · 2502.03242

Constructions and decoding procedures for quantum CSS codes

Yannick Saouter·Massinissa Zenia·Gilles Burel
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Abstract

This article presents new constructions of quantum error correcting Calderbank-Shor-Steane (CSS for short) codes. These codes are mainly obtained by Sloane's classical combinations of linear codes applied here to the case of self-orthogonal linear codes. A new algebraic decoding technique is also introduced. This technique is exemplified on CSS codes obtained from BCH, Reed-Muller and projective geometry codes.

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Yannick Saouter, Massinissa Zenia, Gilles Burel. 2025-02-05. Constructions and decoding procedures for quantum CSS codes. https://arxiv.org/abs/2502.03242

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