English

Two Families of Quantum Codes Derived from Cyclic Codes

Information Theory 2007-11-14 v1 math.IT

Abstract

We characterize the affine-invariant maximal extended cyclic codes. Then by the CSS construction, we derive from these codes a family of pure quantum codes. Also for ordnq even, a new family of degenerate quantum stabilizer codes is derived from the classical duadic codes. This answer an open problem asked by Aly et al.

Keywords

Cite

@article{arxiv.0711.2050,
  title  = {Two Families of Quantum Codes Derived from Cyclic Codes},
  author = {Kenza Guenda},
  journal= {arXiv preprint arXiv:0711.2050},
  year   = {2007}
}
R2 v1 2026-06-21T09:43:03.217Z