English

CSS-T Codes from Reed Muller Codes

Information Theory 2025-07-25 v2 math.IT

Abstract

CSS-T codes are a class of stabilizer codes introduced by Rengaswamy \emph{et al} with desired properties for quantum fault-tolerance. In this work, we comprehensively study non-degenerate CSS-T codes built from Reed-Muller codes. These classical codes allow for constructing CSS-T code families with nonvanishing asymptotic rates up to 12\frac{1}2 and possibly diverging minimum distance when non-degenerate.

Keywords

Cite

@article{arxiv.2305.06423,
  title  = {CSS-T Codes from Reed Muller Codes},
  author = {Emma Andrade and Jessalyn Bolkema and Thomas Dexter and Harrison Eggers and Victoria Luongo and Felice Manganiello and Luke Szramowski},
  journal= {arXiv preprint arXiv:2305.06423},
  year   = {2025}
}
R2 v1 2026-06-28T10:31:29.106Z