Magic State Factory Catalog

[\![255,\,8,\,2]\!]

One factory with n=255 inputs, k=8 outputs and distance d=2.

Inequivalent gates at [[255, 8, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{014}\cdot \mathrm{CCZ}_{015}\cdot \mathrm{CCZ}_{016}\cdot \mathrm{CCZ}_{017}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{024}\cdot \mathrm{CCZ}_{025}\cdot \mathrm{CCZ}_{026}\cdot \mathrm{CCZ}_{027}\cdot \mathrm{CCZ}_{034}\cdot \mathrm{CCZ}_{035}\cdot \mathrm{CCZ}_{036}\cdot \mathrm{CCZ}_{037}\cdot \mathrm{CCZ}_{045}\cdot \mathrm{CCZ}_{04}\cdots 56 terms—12d = 2Singh et al. (2026)

Same n and k at other distances: [\![255,\,8,\,5]\!]
Nearest lengths with the same k and d: [\![256,\,8,\,2]\!] · [\![279,\,8,\,2]\!] · [\![280,\,8,\,2]\!] · [\![224,\,8,\,2]\!] · [\![308,\,8,\,2]\!] · [\![310,\,8,\,2]\!] · [\![312,\,8,\,2]\!] · [\![336,\,8,\,2]\!] · [\![152,\,8,\,2]\!] · [\![150,\,8,\,2]\!] · [\![144,\,8,\,2]\!] · [\![136,\,8,\,2]\!]