MinT - Information on Result #1203289

Information on Result #1203289

Linear OOA(128⁵², 1926548, F₁₂₈, 15, 10) (dual of [(1926548, 15), 28898168, 11]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OOA(128⁵², 3853097, F₁₂₈, 3, 10) (dual of [(3853097, 3), 11559239, 11]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(128¹⁵, 1056896, F₁₂₈, 3, 5) (dual of [(1056896, 3), 3170673, 6]-NRT-code), using
  - generalized (u,Â u+v)-construction [i] based on
    1. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(128⁰, s, F₁₂₈, 3, 0) for arbitrarily large s, using
        OOA with only one run / dual of NRT-code without redundancy [i]
    2. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    3. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    4. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    5. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    6. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    7. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    8. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    9. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    10. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    11. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    12. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    13. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    14. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    15. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    16. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    17. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    18. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    19. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    20. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    21. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    22. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    23. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    24. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    25. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    26. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    27. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    28. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    29. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    30. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    31. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    32. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    33. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    34. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    35. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    36. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    37. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    38. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    39. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    40. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    41. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    42. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    43. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    44. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    45. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    46. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    47. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    48. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    49. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    50. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    51. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    52. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    53. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    54. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    55. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    56. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    57. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    58. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    59. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    60. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    61. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    62. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    63. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    64. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    65. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    66. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    67. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    68. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    69. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    70. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    71. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    72. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    73. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    74. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    75. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    76. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    77. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    78. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    79. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    80. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    81. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    82. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    83. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    84. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    85. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    86. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    87. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    88. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    89. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    90. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    91. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    92. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    93. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    94. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    95. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    96. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    97. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    98. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    99. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    100. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    101. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    102. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    103. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    104. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    105. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    106. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    107. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    108. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    109. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    110. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    111. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    112. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    113. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    114. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    115. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    116. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    117. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    118. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    119. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    120. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    121. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    122. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    123. linear OOA(128⁰, 8257, F₁₂₈, 3, 0) (dual of [(8257, 3), 24771, 1]-NRT-code) (see above)
    124. linear OOA(128¹, 8257, F₁₂₈, 3, 1) (dual of [(8257, 3), 24770, 2]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(128¹, s, F₁₂₈, 3, 1) for arbitrarily large s, using
        appending 2 arbitrary columns [i] based on linear OA(128¹, s, F₁₂₈, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [i]
    125. linear OOA(128¹, 8257, F₁₂₈, 3, 1) (dual of [(8257, 3), 24770, 2]-NRT-code) (see above)
    126. linear OOA(128¹, 8257, F₁₂₈, 3, 1) (dual of [(8257, 3), 24770, 2]-NRT-code) (see above)
    127. linear OOA(128³, 8257, F₁₂₈, 3, 2) (dual of [(8257, 3), 24768, 3]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(128³, 16513, F₁₂₈, 3, 2) (dual of [(16513, 3), 49536, 3]-NRT-code), using
        appending 1 arbitrary column [i] based on linear OOA(128³, 16513, F₁₂₈, 2, 2) (dual of [(16513, 2), 33023, 3]-NRT-code), using
        appending kth column [i] based on linear OA(128³, 16513, F₁₂₈, 2) (dual of [16513, 16510, 3]-code), using
        Hamming code H(3,128) [i]
    128. linear OOA(128⁹, 8257, F₁₂₈, 3, 5) (dual of [(8257, 3), 24762, 6]-NRT-code), using
      - (u,Â u+v)-construction [i] based on
        linear OOA(128², 129, F₁₂₈, 3, 2) (dual of [(129, 3), 385, 3]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(3;385,128) [i]
        linear OOA(128⁷, 8128, F₁₂₈, 3, 5) (dual of [(8128, 3), 24377, 6]-NRT-code), using
        OOA 2-folding and stacking with additional row [i] based on linear OA(128⁷, 16257, F₁₂₈, 5) (dual of [16257, 16250, 6]-code), using
        a code by Danev and Olsson [i]
2. linear OOA(128³⁷, 2796201, F₁₂₈, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
  - OOA 3-folding [i] based on linear OA(128³⁷, large, F₁₂₈, 10) (dual of [large, large−37, 11]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 9256395Â | 128⁴âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]

Mode: Constructive and linear.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (42, 52, 1926548)-net over F₁₂₈	[i]		Net Defined by OOA