Information on Result #1234574

Digital (50, 60, large)-net over F128, using generalized (u, u+v)-construction based on
  1. digital (0, 0, 419431)-net over F128, using
  2. digital (0, 0, 419431)-net over F128 (see above)
  3. digital (0, 0, 419431)-net over F128 (see above)
  4. digital (0, 0, 419431)-net over F128 (see above)
  5. digital (0, 0, 419431)-net over F128 (see above)
  6. digital (0, 0, 419431)-net over F128 (see above)
  7. digital (0, 0, 419431)-net over F128 (see above)
  8. digital (0, 0, 419431)-net over F128 (see above)
  9. digital (0, 0, 419431)-net over F128 (see above)
  10. digital (0, 0, 419431)-net over F128 (see above)
  11. digital (0, 0, 419431)-net over F128 (see above)
  12. digital (0, 0, 419431)-net over F128 (see above)
  13. digital (0, 0, 419431)-net over F128 (see above)
  14. digital (0, 0, 419431)-net over F128 (see above)
  15. digital (0, 0, 419431)-net over F128 (see above)
  16. digital (0, 0, 419431)-net over F128 (see above)
  17. digital (0, 0, 419431)-net over F128 (see above)
  18. digital (0, 0, 419431)-net over F128 (see above)
  19. digital (0, 0, 419431)-net over F128 (see above)
  20. digital (0, 0, 419431)-net over F128 (see above)
  21. digital (0, 0, 419431)-net over F128 (see above)
  22. digital (0, 0, 419431)-net over F128 (see above)
  23. digital (0, 0, 419431)-net over F128 (see above)
  24. digital (0, 0, 419431)-net over F128 (see above)
  25. digital (0, 0, 419431)-net over F128 (see above)
  26. digital (0, 0, 419431)-net over F128 (see above)
  27. digital (0, 0, 419431)-net over F128 (see above)
  28. digital (0, 0, 419431)-net over F128 (see above)
  29. digital (0, 0, 419431)-net over F128 (see above)
  30. digital (0, 0, 419431)-net over F128 (see above)
  31. digital (0, 0, 419431)-net over F128 (see above)
  32. digital (0, 0, 419431)-net over F128 (see above)
  33. digital (0, 0, 419431)-net over F128 (see above)
  34. digital (0, 0, 419431)-net over F128 (see above)
  35. digital (0, 0, 419431)-net over F128 (see above)
  36. digital (0, 0, 419431)-net over F128 (see above)
  37. digital (0, 0, 419431)-net over F128 (see above)
  38. digital (0, 0, 419431)-net over F128 (see above)
  39. digital (0, 0, 419431)-net over F128 (see above)
  40. digital (0, 0, 419431)-net over F128 (see above)
  41. digital (0, 0, 419431)-net over F128 (see above)
  42. digital (0, 0, 419431)-net over F128 (see above)
  43. digital (0, 0, 419431)-net over F128 (see above)
  44. digital (0, 0, 419431)-net over F128 (see above)
  45. digital (0, 0, 419431)-net over F128 (see above)
  46. digital (0, 0, 419431)-net over F128 (see above)
  47. digital (0, 0, 419431)-net over F128 (see above)
  48. digital (0, 0, 419431)-net over F128 (see above)
  49. digital (0, 0, 419431)-net over F128 (see above)
  50. digital (0, 0, 419431)-net over F128 (see above)
  51. digital (0, 0, 419431)-net over F128 (see above)
  52. digital (0, 0, 419431)-net over F128 (see above)
  53. digital (0, 0, 419431)-net over F128 (see above)
  54. digital (0, 0, 419431)-net over F128 (see above)
  55. digital (0, 0, 419431)-net over F128 (see above)
  56. digital (0, 0, 419431)-net over F128 (see above)
  57. digital (0, 0, 419431)-net over F128 (see above)
  58. digital (0, 0, 419431)-net over F128 (see above)
  59. digital (0, 0, 419431)-net over F128 (see above)
  60. digital (0, 0, 419431)-net over F128 (see above)
  61. digital (0, 0, 419431)-net over F128 (see above)
  62. digital (0, 0, 419431)-net over F128 (see above)
  63. digital (0, 0, 419431)-net over F128 (see above)
  64. digital (0, 0, 419431)-net over F128 (see above)
  65. digital (0, 0, 419431)-net over F128 (see above)
  66. digital (0, 0, 419431)-net over F128 (see above)
  67. digital (0, 0, 419431)-net over F128 (see above)
  68. digital (0, 0, 419431)-net over F128 (see above)
  69. digital (0, 0, 419431)-net over F128 (see above)
  70. digital (0, 0, 419431)-net over F128 (see above)
  71. digital (0, 0, 419431)-net over F128 (see above)
  72. digital (0, 0, 419431)-net over F128 (see above)
  73. digital (0, 0, 419431)-net over F128 (see above)
  74. digital (0, 0, 419431)-net over F128 (see above)
  75. digital (0, 0, 419431)-net over F128 (see above)
  76. digital (0, 0, 419431)-net over F128 (see above)
  77. digital (0, 0, 419431)-net over F128 (see above)
  78. digital (0, 0, 419431)-net over F128 (see above)
  79. digital (0, 0, 419431)-net over F128 (see above)
  80. digital (0, 0, 419431)-net over F128 (see above)
  81. digital (0, 0, 419431)-net over F128 (see above)
  82. digital (0, 0, 419431)-net over F128 (see above)
  83. digital (0, 0, 419431)-net over F128 (see above)
  84. digital (0, 0, 419431)-net over F128 (see above)
  85. digital (0, 0, 419431)-net over F128 (see above)
  86. digital (0, 0, 419431)-net over F128 (see above)
  87. digital (0, 0, 419431)-net over F128 (see above)
  88. digital (0, 0, 419431)-net over F128 (see above)
  89. digital (0, 0, 419431)-net over F128 (see above)
  90. digital (0, 0, 419431)-net over F128 (see above)
  91. digital (0, 0, 419431)-net over F128 (see above)
  92. digital (0, 0, 419431)-net over F128 (see above)
  93. digital (0, 0, 419431)-net over F128 (see above)
  94. digital (0, 0, 419431)-net over F128 (see above)
  95. digital (0, 0, 419431)-net over F128 (see above)
  96. digital (0, 0, 419431)-net over F128 (see above)
  97. digital (0, 0, 419431)-net over F128 (see above)
  98. digital (0, 0, 419431)-net over F128 (see above)
  99. digital (0, 0, 419431)-net over F128 (see above)
  100. digital (0, 0, 419431)-net over F128 (see above)
  101. digital (0, 0, 419431)-net over F128 (see above)
  102. digital (0, 0, 419431)-net over F128 (see above)
  103. digital (0, 0, 419431)-net over F128 (see above)
  104. digital (0, 0, 419431)-net over F128 (see above)
  105. digital (0, 0, 419431)-net over F128 (see above)
  106. digital (0, 0, 419431)-net over F128 (see above)
  107. digital (0, 0, 419431)-net over F128 (see above)
  108. digital (0, 0, 419431)-net over F128 (see above)
  109. digital (0, 0, 419431)-net over F128 (see above)
  110. digital (0, 0, 419431)-net over F128 (see above)
  111. digital (0, 0, 419431)-net over F128 (see above)
  112. digital (0, 0, 419431)-net over F128 (see above)
  113. digital (0, 0, 419431)-net over F128 (see above)
  114. digital (0, 0, 419431)-net over F128 (see above)
  115. digital (0, 0, 419431)-net over F128 (see above)
  116. digital (0, 0, 419431)-net over F128 (see above)
  117. digital (0, 0, 419431)-net over F128 (see above)
  118. digital (0, 0, 419431)-net over F128 (see above)
  119. digital (0, 1, 419431)-net over F128, using
  120. digital (0, 1, 419431)-net over F128 (see above)
  121. digital (0, 1, 419431)-net over F128 (see above)
  122. digital (0, 1, 419431)-net over F128 (see above)
  123. digital (0, 1, 419431)-net over F128 (see above)
  124. digital (2, 4, 419431)-net over F128, using
  125. digital (2, 4, 419431)-net over F128 (see above)
  126. digital (3, 6, 419431)-net over F128, using
  127. digital (8, 13, 419431)-net over F128, using
  128. digital (18, 28, 419431)-net over F128, using
    • net defined by OOA [i] based on linear OOA(12828, 419431, F128, 10, 10) (dual of [(419431, 10), 4194282, 11]-NRT-code), using
      • OA 5-folding and stacking [i] based on linear OA(12828, 2097155, F128, 10) (dual of [2097155, 2097127, 11]-code), using
        • construction X applied to Ce(9) ⊂ Ce(8) [i] based on
          1. linear OA(12828, 2097152, F128, 10) (dual of [2097152, 2097124, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
          2. linear OA(12825, 2097152, F128, 9) (dual of [2097152, 2097127, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
          3. linear OA(1280, 3, F128, 0) (dual of [3, 3, 1]-code) (see above)

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Digital (51, 60, large)-net over F128 [i]t-Expansion
2Digital (52, 60, large)-net over F128 [i]
3Digital (51, 61, large)-net over F128 [i]Net Duplication
4Digital (52, 62, large)-net over F128 [i]
5Digital (50, 59, large)-net over F128 [i]m-Reduction
6Digital (50, 58, large)-net over F128 [i]
7Digital (50, 57, large)-net over F128 [i]
8Digital (50, 56, large)-net over F128 [i]
9Digital (50, 55, large)-net over F128 [i]
10Digital (50, 54, large)-net over F128 [i]
11Digital (50, 53, large)-net over F128 [i]