MinT - Best Known (11, 11+5, s)-Nets in Base 81

Best Known (11, 11+5, s)-Nets in Base 81

(11, 11+5, 538002)-Net over F₈₁ — Constructive and digital

Digital (11, 16, 538002)-net over F₈₁, using

net defined by OOA [i] based on linear OOA(81¹⁶, 538002, F₈₁, 5, 5) (dual of [(538002, 5), 2689994, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(81¹⁶, 538002, F₈₁, 4, 5) (dual of [(538002, 4), 2151992, 6]-NRT-code), using
  - generalized (u,Â u+v)-construction [i] based on
    1. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(81⁰, s, F₈₁, 4, 0) with arbitrarily large s, using
        OOA with only one run / dual of NRT-code without redundancy [i]
    2. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    3. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    4. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    5. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    6. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    7. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    8. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    9. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    10. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    11. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    12. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    13. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    14. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    15. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    16. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    17. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    18. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    19. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    20. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    21. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    22. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    23. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    24. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    25. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    26. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    27. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    28. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    29. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    30. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    31. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    32. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    33. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    34. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    35. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    36. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    37. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    38. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    39. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    40. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    41. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    42. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    43. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    44. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    45. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    46. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    47. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    48. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    49. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    50. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    51. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    52. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    53. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    54. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    55. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    56. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    57. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    58. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    59. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    60. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    61. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    62. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    63. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    64. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    65. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    66. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    67. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    68. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    69. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    70. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    71. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    72. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    73. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    74. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    75. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    76. linear OOA(81⁰, 6642, F₈₁, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
    77. linear OOA(81¹, 6642, F₈₁, 4, 1) (dual of [(6642, 4), 26567, 2]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(81¹, s, F₈₁, 4, 1) with arbitrarily large s, using
        appending 3 arbitrary columns [i] based on linear OA(81¹, s, F₈₁, 1) (dual of [s, s−1, 2]-code) with arbitrarily large s, using
        parity-check code [i]
    78. linear OOA(81¹, 6642, F₈₁, 4, 1) (dual of [(6642, 4), 26567, 2]-NRT-code) (see above)
    79. linear OOA(81¹, 6642, F₈₁, 4, 1) (dual of [(6642, 4), 26567, 2]-NRT-code) (see above)
    80. linear OOA(81³, 6642, F₈₁, 4, 2) (dual of [(6642, 4), 26565, 3]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(81³, 6643, F₈₁, 4, 2) (dual of [(6643, 4), 26569, 3]-NRT-code), using
        appending 2 arbitrary columns [i] based on linear OOA(81³, 6643, F₈₁, 2, 2) (dual of [(6643, 2), 13283, 3]-NRT-code), using
        appending kth column [i] based on linear OA(81³, 6643, F₈₁, 2) (dual of [6643, 6640, 3]-code), using
        Hamming code H(3,81) [i]
    81. linear OOA(81¹⁰, 6642, F₈₁, 4, 5) (dual of [(6642, 4), 26558, 6]-NRT-code), using
      - generalized (u,Â u+v)-construction [i] based on
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(81⁰, s, F₈₁, 4, 0) with arbitrarily large s (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
        linear OOA(81¹, 82, F₈₁, 4, 1) (dual of [(82, 4), 327, 2]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(81¹, s, F₈₁, 4, 1) with arbitrarily large s (see above)
        linear OOA(81¹, 82, F₈₁, 4, 1) (dual of [(82, 4), 327, 2]-NRT-code) (see above)
        linear OOA(81¹, 82, F₈₁, 4, 1) (dual of [(82, 4), 327, 2]-NRT-code) (see above)
        linear OOA(81², 82, F₈₁, 4, 2) (dual of [(82, 4), 326, 3]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(4;326,81) [i]
        linear OOA(81⁵, 82, F₈₁, 4, 5) (dual of [(82, 4), 323, 6]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(4;323,81) [i]

(11, 11+5, 1190978)-Net over F₈₁ — Digital

Digital (11, 16, 1190978)-net over F₈₁, using

net defined by OOA [i] based on linear OOA(81¹⁶, 1190978, F₈₁, 5, 5) (dual of [(1190978, 5), 5954874, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(81¹⁶, 1190978, F₈₁, 4, 5) (dual of [(1190978, 4), 4763896, 6]-NRT-code), using
  - Gilbertâ€“VarÅ¡amov bound [i]

(11, 11+5, large)-Net in Base 81 — Upper bound on s

There is no (11, 16, large)-net in base 81, because

3 times m-reduction [i] would yield (11, 13, large)-net in base 81, but
- mutually orthogonal hypercube bound [i]

Best Known (11, 11+5, s)-Nets in Base 81

(11, 11+5, 538002)-Net over F81 — Constructive and digital

(11, 11+5, 1190978)-Net over F81 — Digital

(11, 11+5, large)-Net in Base 81 — Upper bound on s

(11, 11+5, 538002)-Net over F₈₁ — Constructive and digital

(11, 11+5, 1190978)-Net over F₈₁ — Digital