Bounds on the minimum distance of additive quantum codes

Bounds on [[73,33]]₂

lower bound:	9
upper bound:	14
Construction

Construction of a [[73,33,9]] quantum code:
[1]:  [[73, 37, 9]] quantum code over GF(2^2)
     cyclic code of length 73 with generating polynomial x^67 + w*x^66 + x^65 + w*x^64 + w^2*x^63 + w^2*x^62 + w*x^61 + x^60 + w^2*x^59 + w*x^55 + w^2*x^54 + w*x^51 + w^2*x^50 + w*x^49 + w^2*x^47 + w^2*x^46 + w*x^45 + w*x^43 + w*x^42 + w*x^41 + x^39 + w*x^38 + w*x^36 + x^32 + x^30 + w^2*x^29 + x^28 + w^2*x^27 + w^2*x^26 + w*x^24 + x^23 + w*x^22 + w*x^21 + w*x^18 + w^2*x^17 + x^14 + w^2*x^13 + x^12 + x^11 + w*x^9 + w^2*x^8 + w^2*x^7 + w*x^6 + x^5 + w^2*x^4 + w*x^2 + w^2*x + w
[2]:  [[73, 33, 9]] 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 1 0 1 0 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1 1 0 0 1 1 1 0 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 0 1 1 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 1 1 1 0 1 1 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 0 1 1 0 0 0 1 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 1 1 1 0 1 1 1 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 0 1 1|1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 0 1 1 0 0 1 0 1 0]
      [0 1 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 1 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 1 1 0 0 1 0 1 0 1 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 1 1 0 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 0 1 0 0 0 1 0 0 1 1 1 0 0 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 1 1 1 0 1 1 1 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 0 1 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 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1]
      [0 0 1 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 1 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 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 1 1 1 0 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 0 1 1 0 0 1 1 0 0 1 1 0 0 0 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 1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 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 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 0 0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 0 0 1 0 1]
      [0 0 0 1 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 1 0 0 1 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 1 1 1 0 0 0 0 0 1 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 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 0 1 0 0 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 1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 1 0 1 1 1 0 1 0 1 0 0 0 1 1|0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 0 0 0 0 0 1 1 1 1 0 0 1 0 0 0 0 0 1 1 1]
      [0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 1 0 1 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 1 1 0 1 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 0 1 1 1 0 1 1 1 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 1 0 1 1 1 0 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 1 0 1 1 1 0 0 1 1 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 1 0 0 0 1 1|0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 1 1 1 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1]
      [0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 1 0 1 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 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 1 0 1 1 1 0 1 1 1 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 0 1 0 0 0 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 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 0 1 1 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 0 1 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 1 0 1 0 1 0 1 0 1 0 1 1 0]
      [0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 0 0 1 0 1 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 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 1 0 0 0 0 0 1 0 1 1 1 0 1 1 1 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 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 1 1 0 0 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 1 1 0 1 0 1 1 1 0 0 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 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 0 0 1 0 0 1 0 1 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 1 0 1]
      [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 1 0 1 0 0 1 0 0 0 1 1 1 1 0 1 0 1 0 1 0 0 0 1 1 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 1 1 1 1 0 1 1 0 0 1 1 0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 1 1 0 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 1 1 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 0 1 0 1 0 1 0 0 1 0 0 0 1 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 0 1 0 1 0 0 0 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 1 1 1 1 0 1 0 0 1 1 1 0 1 0 1 1 1 0 0 1 0 1]
      [0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 1 0 1 0 0 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 0 1 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 1 1 0 1 0 0 1 0 1 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 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 1 0 1 0 0 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 1 1 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 1]
      [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 1 1 0 1 1 0 0 1 0 1 0 0 0 1 0 1 1 0 0 0 1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 1 0 0 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 1 1 1 1 1 1 1 0 1 1 1 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 1 1 1 1 0 1 0 1 1 0 1 1 0 1 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 1 0 1 1 0 0 1 0 1 1 0 0 1 0 1 0 0 1 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 1 0 1 1 1 1 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 1 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 0 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 0 1 0 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 0 1 1 1 1 0 1 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 1 0 1 0 0 1 1 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0 0 0 1 1 0 1 1 0 1 0 1 0 0 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 1 1 1 1 0 1 0 1 1 1 1 0 0 0 1 1 1 0 1 1 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 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 1 0 0 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 1 1 0 0 0 1 0 0 0 0 1 1 1 0 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 1 0 0 0 0 1 1 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 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 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 0 1 1 1 0 1 0 0 1 1 0 1 0 1 1 0 0 0 0 1 0 0 0 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 1 1 0 1 1 1 1 0 1 0 1 1 1 1 0 0 0 1 1 1 0 1 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0|0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1 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 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 0 1 1 1 0 1 0 0 1 1 1 0 1 1 0 0 0 0 1 1 0 0 0 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 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1 0 1 0 0 0 0 1 0 1 0 0 1 0 0 0 0 1 1 0 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 1 0 0 1 1 0 1 1 1 1 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 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 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 0 1 1 1 0 1 0 0 0 1 0 1 1 0 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 1 1 0 1 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 0 1 0 0 1 0 1 1 1 0 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 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 1 1 1 1 0 1 0 1 1 0 1 1 1 0 0 0 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 0 0 0 1 1 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 1 1 0 1 1 0 1 0 0 1 1 1 1 1 0 1 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 1 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 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 1 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 0 0 1 0 1 1 1 1 1 0 1 1 0 1 1 0 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 0 0 0 1 1 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 1 0 0 0 1 0 0 0 0 1 1 0 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 1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1 1 0 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 0 0 1 1 1 1 1 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 0 0 1 0 1 1 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 1 1 1 0 1 0 0 1 1 0 1 0 0 1 0 1 1 1 1 1 1 0 0 1 0 1 1 0 0 1 0 0 0 0 1 0 1 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 1 0 1 1 0 0 1 0 1 1 1 0 1 0 1 1 1 1 0 0 1 1 0 0 1 1 0 1 1 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 1 0 1 0 1 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 1 1 0 0 0 0 1 1 0 1 1 0 1 1 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 1 0 0 1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 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 1 0 1 1 1 0 1 0 0 1 1 0 1 1 0 1 1 1 1 0 1 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 0 1 1 1 1 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 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 1 1 0 0 1 0 1 0 1 1 0 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 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 1 0 1 1 1 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 1 0 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1 1 0 0 1 1 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 1 0 0 1 0 1 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 1 1 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 1 1 1 0 0 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 1 1]
      [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 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 0 1 0 1 0 1 1 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 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 1 1 0 1 1 0 1 0 1 1 1 1 0 0 1 0 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 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1 1 0 0 1 1 1 0 0 1 1 0 1 1 0 0 0 1 0 1 1 0 1 1 1 0 0 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 1 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1 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 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 1 0 0 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 1 0 0 0 0 0 1 1 1 0 1 1 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 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 1 0 0 1 1 0 1 0 1 1 1 0 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 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 0 1 0 0 0 0 1 0 1 1 0 0 0]

last modified: 2024-06-16
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.
This page is maintained by Markus Grassl (codes@codetables.de). Last change: 10.06.2024
Bounds on the minimum distance of additive quantum codes

Bounds on [[73,33]]2

Construction

Notes

Bounds on [[73,33]]₂
