Information on Result #1022149

Linear OOA(6434, 5592576, F64, 3, 7) (dual of [(5592576, 3), 16777694, 8]-NRT-code), using generalized (u, u+v)-construction based on
  1. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code), using
  2. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  3. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  4. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  5. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  6. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  7. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  8. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  9. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  10. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  11. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  12. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  13. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  14. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  15. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  16. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  17. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  18. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  19. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  20. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  21. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  22. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  23. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  24. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  25. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  26. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  27. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  28. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  29. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  30. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  31. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  32. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  33. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  34. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  35. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  36. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  37. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  38. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  39. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  40. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  41. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  42. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  43. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  44. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  45. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  46. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  47. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  48. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  49. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  50. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  51. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  52. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  53. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  54. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  55. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  56. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  57. linear OOA(640, 87384, F64, 3, 0) (dual of [(87384, 3), 262152, 1]-NRT-code) (see above)
  58. linear OOA(641, 87384, F64, 3, 1) (dual of [(87384, 3), 262151, 2]-NRT-code), using
  59. linear OOA(641, 87384, F64, 3, 1) (dual of [(87384, 3), 262151, 2]-NRT-code) (see above)
  60. linear OOA(641, 87384, F64, 3, 1) (dual of [(87384, 3), 262151, 2]-NRT-code) (see above)
  61. linear OOA(641, 87384, F64, 3, 1) (dual of [(87384, 3), 262151, 2]-NRT-code) (see above)
  62. linear OOA(644, 87384, F64, 3, 2) (dual of [(87384, 3), 262148, 3]-NRT-code), using
  63. linear OOA(646, 87384, F64, 3, 3) (dual of [(87384, 3), 262146, 4]-NRT-code), using
  64. linear OOA(6420, 87384, F64, 3, 7) (dual of [(87384, 3), 262132, 8]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6420, 262152, F64, 7) (dual of [262152, 262132, 8]-code), using
      • construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
        1. linear OA(6419, 262145, F64, 7) (dual of [262145, 262126, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
        2. linear OA(6413, 262145, F64, 5) (dual of [262145, 262132, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
        3. linear OA(641, 7, F64, 1) (dual of [7, 6, 2]-code), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(6434, 5592575, F64, 9, 7) (dual of [(5592575, 9), 50333141, 8]-NRT-code) [i]OOA Stacking with Additional Row