Information on Result #670028

Linear OA(8116, 162, F81, 11) (dual of [162, 146, 12]-code), using generalized (u, u+v)-construction based on
  1. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
  2. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  3. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  4. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  5. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  6. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  7. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  8. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  9. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  10. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  11. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  12. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  13. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  14. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  15. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  16. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  17. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  18. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  19. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  20. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  21. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  22. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  23. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  24. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  25. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  26. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  27. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  28. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  29. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  30. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  31. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  32. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  33. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  34. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  35. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  36. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  37. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  38. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  39. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  40. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  41. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  42. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  43. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  44. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  45. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  46. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  47. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  48. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  49. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  50. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  51. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  52. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  53. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  54. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  55. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  56. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  57. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  58. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  59. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  60. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  61. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  62. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  63. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  64. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  65. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  66. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  67. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  68. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  69. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  70. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
  71. linear OA(811, 2, F81, 1) (dual of [2, 1, 2]-code), using
  72. linear OA(811, 2, F81, 1) (dual of [2, 1, 2]-code) (see above)
  73. linear OA(811, 2, F81, 1) (dual of [2, 1, 2]-code) (see above)
  74. linear OA(811, 2, F81, 1) (dual of [2, 1, 2]-code) (see above)
  75. linear OA(811, 2, F81, 1) (dual of [2, 1, 2]-code) (see above)
  76. linear OA(811, 2, F81, 1) (dual of [2, 1, 2]-code) (see above)
  77. linear OA(812, 2, F81, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,81)), using
  78. linear OA(812, 2, F81, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,81)) (see above)
  79. linear OA(812, 2, F81, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,81)) (see above)
  80. linear OA(812, 2, F81, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,81)) (see above)
  81. linear OA(812, 2, F81, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,81)) (see above)

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(8161, 6724, F81, 23) (dual of [6724, 6663, 24]-code) [i](u, u+v)-Construction
2Linear OA(8159, 6723, F81, 22) (dual of [6723, 6664, 23]-code) [i]
3Linear OA(8180, 531603, F81, 22) (dual of [531603, 531523, 23]-code) [i]