Bounds on the minimum distance of additive quantum codes

Bounds on [[168,81]]₂

Construction

Construction of a [[168,81,14]] quantum code:
[1]: [168,84] Code
     Missing Construction
[2]: [168,81] 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.