Information on Result #1082889

Linear OOA(12836, large, F128, 4, 7), using (u, u+v)-construction based on
  1. linear OOA(1283, 129, F128, 4, 3) (dual of [(129, 4), 513, 4]-NRT-code), using
  2. linear OOA(12833, 8388602, F128, 4, 7) (dual of [(8388602, 4), 33554375, 8]-NRT-code), using
    • OOA stacking with additional row [i] based on linear OOA(12833, large, F128, 3, 7), using
      • generalized (u, u+v)-construction [i] based on
        1. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code), using
        2. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        3. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        4. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        5. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        6. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        7. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        8. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        9. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        10. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        11. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        12. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        13. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        14. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        15. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        16. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        17. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        18. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        19. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        20. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        21. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        22. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        23. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        24. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        25. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        26. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        27. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        28. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        29. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        30. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        31. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        32. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        33. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        34. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        35. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        36. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        37. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        38. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        39. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        40. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        41. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        42. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        43. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        44. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        45. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        46. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        47. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        48. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        49. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        50. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        51. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        52. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        53. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        54. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        55. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        56. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        57. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        58. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        59. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        60. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        61. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        62. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        63. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        64. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        65. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        66. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        67. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        68. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        69. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        70. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        71. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        72. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        73. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        74. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        75. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        76. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        77. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        78. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        79. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        80. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        81. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        82. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        83. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        84. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        85. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        86. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        87. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        88. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        89. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        90. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        91. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        92. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        93. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        94. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        95. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        96. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        97. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        98. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        99. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        100. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        101. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        102. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        103. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        104. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        105. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        106. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        107. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        108. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        109. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        110. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        111. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        112. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        113. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        114. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        115. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        116. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        117. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        118. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        119. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        120. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        121. linear OOA(1280, 699051, F128, 3, 0) (dual of [(699051, 3), 2097153, 1]-NRT-code) (see above)
        122. linear OOA(1281, 699051, F128, 3, 1) (dual of [(699051, 3), 2097152, 2]-NRT-code), using
        123. linear OOA(1281, 699051, F128, 3, 1) (dual of [(699051, 3), 2097152, 2]-NRT-code) (see above)
        124. linear OOA(1281, 699051, F128, 3, 1) (dual of [(699051, 3), 2097152, 2]-NRT-code) (see above)
        125. linear OOA(1281, 699051, F128, 3, 1) (dual of [(699051, 3), 2097152, 2]-NRT-code) (see above)
        126. linear OOA(1284, 699051, F128, 3, 2) (dual of [(699051, 3), 2097149, 3]-NRT-code), using
        127. linear OOA(1286, 699051, F128, 3, 3) (dual of [(699051, 3), 2097147, 4]-NRT-code), using
        128. linear OOA(12819, 699051, F128, 3, 7) (dual of [(699051, 3), 2097134, 8]-NRT-code), using
          • OOA 3-folding [i] based on linear OA(12819, 2097153, F128, 7) (dual of [2097153, 2097134, 8]-code), using
            • the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]

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
1Linear OOA(12836, large, F128, 4, 6) [i]Strength Reduction for OOAs
2Linear OOA(12836, large, F128, 4, 5) [i]
3Linear OOA(12836, large, F128, 4, 4) [i]
4Linear OOA(12836, large, F128, 4, 3) [i]