Bounds on the minimum distance of additive quantum codes

Bounds on [[126,87]]₂

lower bound:	8
upper bound:	12
Construction

Construction of a [[126,87,8]] quantum code:
[1]:  [[126, 88, 8]] quantum code over GF(2^2)
     QuasiCyclicCode of length 126 with generating polynomials: x^44 + w^2*x^43 + w*x^42 + x^41 + w^2*x^39 + w*x^38 + w^2*x^37 + w^2*x^35 + x^34 + x^33 + w*x^32 + w^2*x^31 + w^2*x^30 + w^2*x^26 + w*x^25 + w^2*x^24 + w^2*x^23 + x^22 + w^2*x^20 + x^18 + w^2*x^17 + w*x^16 + w^2*x^15 + x^14 + w*x^13 + x^12 + w^2*x^11 + w*x^10 + w^2*x^7 + w^2*x^5 + x^4 + w*x^3 + w,  x^62 + x^60 + x^58 + w^2*x^57 + x^55 + w^2*x^54 + w^2*x^53 + w^2*x^52 + w^2*x^50 + w*x^48 + w*x^47 + x^46 + w*x^43 + w^2*x^42 + w^2*x^41 + w^2*x^40 + x^39 + w^2*x^38 + x^37 + x^36 + w^2*x^34 + x^33 + w^2*x^31 + w^2*x^29 + w^2*x^28 + w^2*x^27 + w*x^26 + x^25 + w*x^24 + x^22 + w^2*x^21 + w*x^20 + w*x^18 + w^2*x^16 + x^15 + w^2*x^13 + w*x^12 + x^11 + x^10 + w^2*x^9 + w*x^8 + x^7 + w^2*x^6 + w*x^5 + w*x^4 + w*x^3 + w^2*x^2 + w*x + w^2
[2]:  [[126, 87, 8]] 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 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 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 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 1 1 1 1 0 1 0 0 1 0 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 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 1 0 0 1 1 0 0 1 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 1 0 0 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 0 0 1 1 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 0 0 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 1 1 1 1 0 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 1 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 1 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 0 1 1 0 0 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 1 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 1 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 0 1 1 0 0 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 0 0 1|0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 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 1 0 0 1 1 1 1 0 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0 1 1 1 0 1 1 1 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 0 0 1 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 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 0 0 1 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 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 1 1 0 1 1 0 0 1 0 0 1 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 1 0 1 0 0 0 0 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 0 1 0 0 1 1 1 1 0 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 1 1 1 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0 1 1 1 0 1 1 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 0 0 1 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 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 0 0 1 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 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 1 1 0 1 1 0 0 1 0 0 1 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 1 1 0 0 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 1 0 1 0 0 0 0 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 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0 0 0 1 0 1 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 1 0 0 1 0 1 0 1 1 0 0 0 0 1 1 1 0 0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 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 0 0 1 0 1 1 1 1 0 1 0 1 1 0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 1 1 0 0 0 1 1 1 1 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 1 0 1 1 1 1 0 1 0 1 1 0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 0 0 0 0 1 1|0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 1 1 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1]
      [0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 0 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 0 1 1 0 1 0 0 1 0 0 1 0 1 1 0 1 1 0 1 1 0 0 0 1 1 0 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 1 0 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 0 1 1 1 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 0 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 0 1 1 0 1 1 1 0 1 0 1 0 0 1 0 1 0 0 1 0 0 1 1 1 0 1 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 0 0 0 0 0 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 0 1 1 1 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 0 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 0 1 1 0 1 1 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 0 1 0 0 0 1 0 0 1 1 0 1|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 1 1 0 0 1 0 0 1 1 0 0 1 1 0 1 1 1 1 0 0 1 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1 0 0 1 0 0 1 0 0 0 1 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 0 1 1 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 1 0 0 1 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 0 1 0 0 1 0 1 1 1 0 0 0 0 0 1 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 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 1 0 1 0 1 1 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 1 0 1 0 0 1 1 1 1 0 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 1 0 1|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 1 0 1 0 0 0 1 0 0 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 0 0 1 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 1 1 0 0 0 1 1 0 0 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 0 0 0 1 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 1 0 0 1 1 0 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 1 1 0 0 0 1 1 0 1 1 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 0 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0 1 1 1 1 1 0 1 0 1 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 1 1 1 0 0 0 1 1 1 0 0 1 0 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1 1 0 1 1 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 1 1 1 1 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 1 1 0 0 1 1 1 0 0 0 1 1 0 1 1 0 1 0 1 0 1 0 0 0 0 0 0 1 1 1 0 1 0 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 1 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 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 1 1 1 0 1 1 0 1 1 1 0 1 0 0 0 1 0 0 1 1 1 1 0 0 1 1 0 0 1 0 1 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 0 1 0 0 1 0 0 1 1 1 0 1 1 0 0 0 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 1 1 0 1 1 0 1 1 1 0 1 0 0 0 1 0 0 1 1 1 1 0 0 1 1 0 0 1 0 1 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 0 1 0 0 0 1 1 1 1 0 1 0 0 0 1 1 0 0 0 1 0 1|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 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 1 0 1 0 0 1 1 0 1 1 0 0 1 1 1 1 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 1 0 1 1 0 1 1 1 0 0 0 1 1 0 1 0 1 1 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 0 1 1 1 0 1 1 1 1 1 1 0 0 1 0 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 0 0 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 1 0 0 1 0 1 0 0 1 1 1 0 0 0 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 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 1 1 1 1 1 0 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 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 0 1 1 0 0 1 1 1 0 1 1 0 1 1 1 1 0 1 1 0 1|0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 1 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 0 1 0 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 1 0 1 0 1 0 1 0 0 0 1 0 1 0 1 1 1 0 0 1 0 1 1 0 1 1 1 1 1 0 1 1 0 1 0 1 0 0 0 0 1 0 0 1 1 0 1 1 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 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 0 0 0 0 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 1 0 1 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 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 0 1 1 0 0 1 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 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 1 1 1 0 1 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 0 1 1 1 1 1 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1 0 0 1 0 1 1 0 0 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 0 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 1 0 0 0 1 1 0 1 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 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 0 0 0 1 1 0 1 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 1 1 0 0 1 1 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 1 1 1 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 0 1 0 0 1 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 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 1 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 0 0 0 1 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 0 1 1 0 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 0 1 1 1 0 0 1 0 1 1 1 1 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1 0 1 1 0 1 1 0 0 1 0 0 1 1 1 0 1 1 1 0 1 1 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 1 1 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 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 1 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1 0 1 1 0 1 1 0 0 1 0 0 1 1 1 0 1 1 1 0 1 1 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 1 1 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 0 0 0 0 1 1 1 0 1 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 1 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 1 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 0 1 1 0 1 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 0 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0 1 0 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 1 0 0 0 1 0 1 0 0 1 1 0 1 1 0 1 1 0 0 0 0 0 1 0 1 0 1 1 1 0 1 0 1 0 0 0 0 1 1 0 1 1 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 1 1 0 0 1 0 0 1 1 0 1 0 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 1 0 0 0 1 0 1 0 0 1 1 0 1 1 0 1 1 0 0 0 0 0 1 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 1 1 1 0 1 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 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 0 1 1 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 0 1 0 1 0 1 1 1 0 1 1 0 0 0 1 0 0 0 1 1 1 0 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0 1 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 1 0 0 0 0 0 1 0 0 1 1 1 1 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 1 0 1 0 1 0 1 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 1 0 1 1 0 0 0 1 0 1 0 1 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 0 0 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 1 0 1 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 0 1 0 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 1 0 0 0 1 1 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 1 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 0 1 0 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 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 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 0 0 1 1 0 0 1 1 0 0 1 0 1 1 1 0 1 0 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 1 0 1 0 0 1 1 1 1 1 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 1 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0 1 0 1 1 1 1 1 0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 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 0 0 1 1 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 1 1 0 1 1 0 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 1 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 1 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 1 1 0 1 1 0 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 0 0 1 1 0 1 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 0 1 0 1 0 1 0 0 1 1 1 0 0 1 0 0 1 0 1 0 1 1 0 0 1 1 0 1 0 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 1 0 0 0 1 0 0 0 0 0 1 0 1 1 1 0 1 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 1 1 0 0 0 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 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 0 1 1 0 0 0 0 0 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0 0 0 0 1 0 1 0 0 0 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 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 0 1 1 0 0 0 0 0 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 1 1 1 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 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 1 1 1 1 0 1 0 0 1 0 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 1 0 0 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 1 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 0 0 1 0 0 1 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 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 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 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 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 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 1 1 1 1 0 1 0 0 1 0 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 1 0 0 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 1 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 0 0 1 0 0 1 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 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 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 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 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 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 1 1 1 1 0 1 0 0 1 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 1 0 1 1 1 1 0 1 0 0]

last modified: 2025-04-15
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 [[126,87]]2

Construction

Notes

Bounds on [[126,87]]₂
