Bounds on the minimum distance of additive quantum codes

Bounds on [[102,70]]₂

lower bound:	7
upper bound:	10
Construction

Construction type: LvLiWang
Construction of a [[102,70,7]] quantum code:
[1]:  [[102, 70, 7]] quantum code over GF(2^2)
     QuasiCyclicCode of length 102 with generating polynomials: x^50 + x^49 + x^48 + x^47 + w^2*x^46 + w*x^45 + x^43 + x^42 + w*x^41 + w^2*x^40 + w*x^39 + w*x^35 + w^2*x^34 + x^33 + w^2*x^31 + x^29 + w^2*x^26 + w^2*x^25 + w^2*x^24 + x^23 + w^2*x^22 + w*x^21 + w^2*x^20 + w*x^19 + w^2*x^16 + x^4,  w^2*x^50 + x^49 + x^48 + w^2*x^47 + w^2*x^46 + w^2*x^45 + w*x^43 + w*x^41 + x^40 + w*x^39 + w^2*x^38 + x^37 + w*x^36 + w*x^35 + x^34 + w*x^33 + w*x^32 + w*x^30 + x^29 + x^28 + x^27 + w^2*x^26 + w*x^25 + x^24 + w*x^23 + w^2*x^22 + w*x^20 + w^2*x^19 + w*x^18 + w*x^17 + w*x^16 + x^15 + w*x^13 + w^2*x^12 + w*x^11 + w*x^9 + w^2*x^8 + x^7 + x^5 + w*x^4 + w^2*x^3 + x^2 + x + w^2

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

last modified: 2024-04-24
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 [[102,70]]2

Construction

Notes

Bounds on [[102,70]]₂
