Information on Result #671372

Linear OA(12837, 16640, F128, 14) (dual of [16640, 16603, 15]-code), using (u, u+v)-construction based on
  1. linear OA(12810, 256, F128, 7) (dual of [256, 246, 8]-code), using
    • generalized (u, u+v)-construction [i] based on
      1. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
      2. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      3. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      4. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      5. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      6. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      7. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      8. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      9. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      10. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      11. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      12. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      13. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      14. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      15. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      16. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      17. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      18. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      19. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      20. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      21. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      22. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      23. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      24. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      25. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      26. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      27. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      28. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      29. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      30. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      31. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      32. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      33. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      34. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      35. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      36. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      37. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      38. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      39. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      40. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      41. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      42. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      43. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      44. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      45. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      46. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      47. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      48. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      49. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      50. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      51. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      52. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      53. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      54. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      55. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      56. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      57. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      58. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      59. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      60. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      61. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      62. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      63. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      64. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      65. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      66. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      67. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      68. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      69. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      70. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      71. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      72. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      73. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      74. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      75. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      76. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      77. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      78. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      79. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      80. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      81. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      82. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      83. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      84. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      85. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      86. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      87. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      88. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      89. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      90. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      91. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      92. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      93. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      94. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      95. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      96. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      97. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      98. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      99. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      100. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      101. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      102. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      103. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      104. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      105. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      106. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      107. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      108. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      109. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      110. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      111. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      112. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      113. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      114. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      115. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      116. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      117. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      118. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      119. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      120. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      121. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
      122. linear OA(1281, 2, F128, 1) (dual of [2, 1, 2]-code), using
      123. linear OA(1281, 2, F128, 1) (dual of [2, 1, 2]-code) (see above)
      124. linear OA(1281, 2, F128, 1) (dual of [2, 1, 2]-code) (see above)
      125. linear OA(1281, 2, F128, 1) (dual of [2, 1, 2]-code) (see above)
      126. linear OA(1282, 2, F128, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,128)), using
      127. linear OA(1282, 2, F128, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,128)) (see above)
      128. linear OA(1282, 2, F128, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,128)) (see above)
  2. linear OA(12827, 16384, F128, 14) (dual of [16384, 16357, 15]-code), using
    • an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]

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 OOA(12837, 2377, F128, 14, 14) (dual of [(2377, 14), 33241, 15]-NRT-code) [i]OA Folding and Stacking