Bounds on the minimum distance of additive quantum codes

Bounds on [[223,109]]₂

Construction

Construction of a [[223,109,18]] quantum code:
[1]: [223,112] Code
     Missing Construction
[2]: [223,109] Code
     Subcode of [1]

Notes

• All codes establishing the lower bounds where constructed using MAGMA.
• Most upper bounds on qubit codes for n≤100 are based on a MAGMA program by Eric Rains.
• For n>100, the upper bounds on qubit codes are weak (and not necessarily monotone in k).
• Some additional information can be found in the book by Nebe, Rains, and Sloane.
• My apologies to all authors that have contributed codes to this table for not giving specific credits.