Constructions and decoding procedures for quantum CSS codes
Yannick Saouter, Massinissa Zenia, Gilles Burel
公開日: 2025/2/5
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.