Bounds on the minimum distance of additive quantum codes

Bounds on [[225,112]]₂

Construction

Construction of a [[225,112,18]] quantum code:
[1]: [224,112] Code
     Missing Construction
[2]: [225,112] Code
     ExtendCode [1] by 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.