Bounds on the minimum distance of additive quantum codes

Bounds on [[79,45]]₂

lower bound:	7
upper bound:	11
Construction

Construction of a [[79,45,7]] quantum code:
[1]:  [[82, 42, 8]] quantum code over GF(2^2)
     QuasiCyclicCode of length 82 with generating polynomials: x^40 + w*x^37 + w^2*x^36 + x^35 + x^34 + w^2*x^33 + w^2*x^31 + x^30 + x^28 + w*x^27 + w^2*x^26 + x^24 + w*x^23 + x^22 + w*x^21 + x^20 + w^2*x^19 + w^2*x^17 + x^16 + w^2*x^15 + w*x^14 + x^10 + x^9 + w*x^8 + x^7 + x^6 + w^2*x^4 + x,  x^40 + w^2*x^39 + x^38 + w^2*x^37 + x^36 + w^2*x^35 + x^34 + x^33 + x^32 + x^31 + w*x^30 + x^29 + x^27 + w^2*x^26 + x^25 + w^2*x^24 + x^23 + w*x^22 + w^2*x^21 + x^20 + x^18 + w^2*x^17 + w^2*x^16 + w*x^15 + w*x^14 + w*x^13 + w^2*x^11 + w^2*x^10 + w*x^9 + w^2*x^7 + x^6 + x^4 + w*x^3 + w*x^2 + w^2*x + 1
[2]:  [[79, 45, 7]] quantum code over GF(2^2)
     Shortening of the stabilizer code of [1] at { 1, 2, 17 }

    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 0 0 0 0 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1 0 1 1 0 0 0 1 1 0 1 1 1 0 0 0 1 0 1 0 0 0 0 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 1 1 1 0 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 0 0 1 0 1 0 0 0 1 0 1 1 0 0 1 0 1 0 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 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 0 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 1 0 0 1 1 1 1 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 0 0 1 0]
      [0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 1 0 1 0 1 0 0 1 1 1 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 1 1 0 0 0 0 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 1 1 0 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 1 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 0 1|0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 0 1 1 0 1 1 1 1 1 0 0 1 0 0]
      [0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 1 1 1 1 0 0 1 1 1 0 0 0 1 0 0 0 0 0 1 0 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 0 1 1 1 1 0 0 1 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 1 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 0 1 0 1 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 1 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 0 1 0 1 0 0 1 1 0 1 0 1|0 0 1 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 0 1 1 0 0 0 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1 0 0 1 0 0 1 0 0]
      [0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 1 1 1 1 0 0 1 1 1 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 0 1 1 1 1 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 1 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 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 1 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 0 1 0 1 0 0 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 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1 0 0 1 0 0 1 0]
      [0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 1 1 1 1 0 0 1 1 1 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 0 1 1 1 1 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 1 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 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 1 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 0 1 0 1 0 0 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 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1 0 0 1 0 0 1]
      [0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 0 1 1 0 1 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 1 0 0 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 1 1 0 1 1 0 0 1 1 0 0 1 1 1 0 1 0 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 0 1 1 0 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 1 0 1 1 0 0 1 1 0 0 1 1 1 0 1 0 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 0 1 1 0 0 0 0 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 1 0 1 1 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 1 1 1 1 0 1 0 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 1 1]
      [0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 1 1 0 1 1 0 1 0 0 0 1 1 1 0 0 1 1 0 1 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 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 0 1 0 0 0 1 1 1 1 1 0 0 1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 0 1 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1]
      [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 1 0 0 1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 0 1 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 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 1 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 1 1 1 1 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1]
      [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 0 0 1 1 0 1 1 0 1 1 0 0 0 0 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 0 1 1 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 1 1 0 0 1 1 0 0 1 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 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 0 0 0 0 1 1 0 0 1 1 0 0 1 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 1 0 1 0 1 1 0 1 0 0 0 0|0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 1 0 0 0 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 0 1 1 1 0 0 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 1]
      [0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 1 0 0 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1 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 1 0 1 0 0 0 0 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 1 1 1 0 0 0 1 0 1 1 1 0 1 1 1 1 0 1 0 0 1 1 0 1 0 1 0 0 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 1 0 1 0 0 0 0 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 1 1 1 0 0 0 1 0 1 1 1 0 1 1 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 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 1 1 0 0 0 1 0 1 1 0 1 0 0 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0]
      [0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 0 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 0 1 0 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 1 0 0 1 0 0 1 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 0 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 1 0 0 1 0 0 1 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 0 0 0 1 0 0 1 1 1 1 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 0 0 0 0 1 0 1 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1 1 0 0 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 1 0 0 0 1 1 0 1 1 1 1 0 0 1 0 1 1 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1 1 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 1 0 1 0 1 0 1 1 1 0 0 1 1 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 1 0 0 0 0 1 0 0 1]
      [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 1 0 0 1 1 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 1 0 0 0 0 1 0 0 1|0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 1 1 0 1 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 0 0 0 1 0 1 1 0 0 1 1 1 1 1 0 0 1 1 0 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 0 1 1 0 0 1 1 0 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 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 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 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 1 0 1 0 0 1 0|0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 0 1 0 1 1 1 1 0 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 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 0 1 1 0 0 1 1 0 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 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 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 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 1 0 1 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 0 1 0 1 1 1 1 0 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 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 0 1 1 0 0 1 1 0 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 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 1 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 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 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 1 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 1 0 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 0 1 1 0 1 1 1 1 1 0 0 1 1 0 0 1 0 0 1 1 1 0 0 1 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 0 1 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 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 0 1|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 1 1 1 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 1 0 0 1 1 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 1 0 0 1 0 0 1 1 1 1 1 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 1 1 1 1 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 1 1 1 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 1 0 1 1 0 0 1 1 0 0 1 1 0 0 1 0 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 1 0 0 1]
      [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 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 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 0 1 0 0 1 1 1 1 1 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 1 0 0 1 1 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 1 0 0 1 0 0 1 1 1 1 1 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 1 1 1 1 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 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 0 1 1 0 1 1 0 0 1 1 0 0 1 1 0 0 1 0 1 1 0 0 0 0 0 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 0 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1 1 0 1 0 0 0 0 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 0 0 1 1 0 0 0 0 1 1 0 1 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 0 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 0 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 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 0 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 0 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 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 0 1 1 1 1 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 1 1 0 0 0 1 1 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 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 [[79,45]]2

Construction

Notes

Bounds on [[79,45]]₂
