Bounds on the minimum distance of additive quantum codes

Bounds on [[201,99]]₂

Construction

Construction of a [[201,99,16]] quantum code:
[1]: [200,100] Code
     Missing Construction
[2]: [200,99] Code
     Subcode of [1]
[3]: [201,99] Code
     ExtendCode [2] 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.