Bounds on the minimum distance of additive quantum codes

Bounds on [[87,58]]₂

lower bound:	6
upper bound:	9
Construction

Construction of a [[87,58,6]] quantum code:
[1]:  [[87, 59, 6]] quantum code over GF(2^2)
     quasicyclic code of length 87 with 2 generating polynomials
[2]:  [[87, 58, 6]] quantum code over GF(2^2)
     Subcode of [1]

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 0 0 0 1|0 0 0 0 1 0 1 0 1 0 1 0 0 0 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0]
      [0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 0 1 1 0 1 1 1 1 1 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 1 1 0 0|1 1 1 0 0 0 1 0 0 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1 0 0 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0]
      [0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 1 0 0 0 1 0 1 0|0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 0 1 1 0 1 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0 1 0]
      [0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 0 0 0 0 1|0 1 1 0 1 1 0 0 0 0 0 0 1 1 0 1 1 0 1 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1]
      [0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 0 1 0 0|1 1 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 0 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 0 0 1 0 1 1 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 1 1 1 0 0 1 0 0 1 0 1 1]
      [0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 1 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 0 0 0 0 1 1 1 0 1 0 0 1 1 0 1 1 0 0 0 1 1 1 0 1 0 1 0 1 1 0|1 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 0 1 1 1 0 0 1 1 1]
      [0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 0 0 1 0 0 1 1 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 1 1 1 1|1 0 1 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 1 0 1 1 1 1 0 0 1 1 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 0 0 1 1 0 1 0 0 0 1 0 1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 0 1]
      [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 1 0 0 1 1|1 0 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 1 0 0 0 1 1 1 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 1 0]
      [0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 1 1 0 0 0 1 0 0 1 1 1 1 1 1 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 1 1 1 0 0 1 0 0 0 0 1 0 1 1 0 1|0 0 1 1 1 1 0 0 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 1 0 0 1 1 1 1 0 0 1 0 0 0 1 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 1 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 0 0 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 1 1 0 0 1 1 1 0 0 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 0 1 0|1 1 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 1 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 0 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0 1 0 1 0 0 0 1 1 0 1|0 0 0 1 1 0 1 1 1 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 0 0 1 1 0 1 0 1 0 1 1 1 1 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 1 1 1 0 0 0 1 1 1 0 1 1 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0|0 1 1 0 1 0 1 0 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 0 1 0 1 0 0 0 1 0 1 1 1 1 1 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 0 0 0 0 1 0 1 1 1 0 1 1 0 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 1|0 1 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 1 1 0 0 1 0 1 1 0|1 1 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 1 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 0 0 1 0 0 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 0 1 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 1 1 1 0 0 1 0 1 1 0 0 0 1 1|0 1 1 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 1 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 0 0 1 0 0 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 1 1 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 1 1 0 1 1 0 1 0 1|1 1 0 1 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 1 0 1 1 1 0 1 1 0 0 1 1 1 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 1 0 0 1 1 0 1 1 0 1 0 0 0 0 1 0 0 0 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0 1 1 1 1 0|0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 0 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 0 1 1|0 1 1 0 0 0 0 1 1 0 1 1 1 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1 1 1 0 1 1 0 1 1 1 0 0 1 1 0 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1|0 1 0 1 0 1 1 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 1 0 1 1 1 0 0 1 1 1 0 0 1 1 1 0 0 0 1 1 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 1 0 0 0 1 1 0 0 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 0 1 1 1 0 1 1 0 1 1 1 1 1 0 0|1 1 0 0 1 1 0 0 1 1 1 1 0 0 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 0 1 0 0 0 1 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 0 1 1 1 0 0 1 1 0 0 0 1 0 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0|0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 0 0 0 1 0 0 0 1 0 0 1 1 1 1 0 0 0 0 1 0 0 1 1 0 1 1 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 1 0 1 1 1 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 0 1|1 1 1 0 0 1 1 1 1 0 1 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 0 1 0 0 0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 1 1 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 1 0 1 0 0 0 0 1 0 1 0 1 0 1 1 0 1 1 1 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 0 0|1 0 0 1 0 1 0 0 1 1 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 0 0 0 1 1 1 1 0 0 1 0 0 0 0 1 1 1 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 0 0 0 0 0 0 1 0 1 0 1 1 1 1 0 1 0 0 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 1 0 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0|1 0 1 0 1 1 0 1 0 1 1 1 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 1 0 0 1 1 0 1 1 1 1 0 0 0 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 1 0 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 1 1 0 0|1 0 1 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 0 0 0 0 0 1 1 0 1 1 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 1 1 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 1 0|0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 1 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 0 1|0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0 0 1 1 1 0 1 1 1 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 1 0 0 1 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 1 1 0 1 0 1 0|1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 0 0 0 0 1 0 1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 1 1 0 1]

last modified: 2006-04-03
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 even 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.
This page is maintained by Markus Grassl (codes@codetables.de). Last change: 23.10.2014
Bounds on the minimum distance of additive quantum codes

Bounds on [[87,58]]2

Construction

Notes

Bounds on [[87,58]]₂
