MinT - Information on Result #1083686

Information on Result #1083686

Linear OOA(256²⁷, large, F₂₅₆, 4, 6), using (u,Â u+v)-construction based on

linear OOA(256⁶, large, F₂₅₆, 4, 3), using
- appending 1 arbitrary column [i] based on linear OOA(256⁶, large, F₂₅₆, 3, 3), using
  - appending kth column [i] based on linear OOA(256⁶, large, F₂₅₆, 2, 3), using
    - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(256⁶, large, F₂₅₆, 3) (dual of [large, large−6, 4]-code), using
      - product of projective cap with (hyper)oval [i] based on linear OA(256⁴, 65537, F₂₅₆, 3) (dual of [65537, 65533, 4]-code or 65537-cap in PG(3,256)), using
        ovoid in PG(3,Â 256) [i]
linear OOA(256²¹, 5592575, F₂₅₆, 4, 6) (dual of [(5592575, 4), 22370279, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(256²¹, 5592576, F₂₅₆, 3, 6) (dual of [(5592576, 3), 16777707, 7]-NRT-code), using
  - generalized (u,Â u+v)-construction [i] based on
    1. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(256⁰, s, F₂₅₆, 3, 0) for arbitrarily large s, using
        OOA with only one run / dual of NRT-code without redundancy [i]
    2. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    3. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    4. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    5. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    6. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    7. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    8. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    9. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    10. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    11. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    12. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    13. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    14. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    15. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    16. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    17. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    18. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    19. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    20. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    21. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    22. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    23. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    24. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    25. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    26. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    27. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    28. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    29. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    30. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    31. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    32. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    33. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    34. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    35. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    36. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    37. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    38. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    39. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    40. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    41. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    42. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    43. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    44. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    45. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    46. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    47. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    48. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    49. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    50. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    51. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    52. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    53. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    54. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    55. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    56. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    57. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    58. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    59. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    60. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    61. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    62. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    63. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    64. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    65. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    66. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    67. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    68. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    69. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    70. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    71. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    72. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    73. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    74. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    75. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    76. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    77. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    78. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    79. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    80. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    81. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    82. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    83. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    84. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    85. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    86. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    87. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    88. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    89. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    90. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    91. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    92. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    93. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    94. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    95. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    96. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    97. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    98. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    99. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    100. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    101. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    102. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    103. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    104. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    105. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    106. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    107. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    108. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    109. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    110. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    111. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    112. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    113. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    114. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    115. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    116. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    117. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    118. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    119. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    120. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    121. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    122. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    123. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    124. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    125. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    126. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    127. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    128. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    129. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    130. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    131. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    132. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    133. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    134. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    135. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    136. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    137. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    138. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    139. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    140. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    141. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    142. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    143. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    144. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    145. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    146. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    147. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    148. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    149. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    150. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    151. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    152. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    153. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    154. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    155. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    156. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    157. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    158. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    159. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    160. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    161. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    162. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    163. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    164. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    165. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    166. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    167. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    168. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    169. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    170. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    171. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    172. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    173. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    174. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    175. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    176. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    177. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    178. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    179. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    180. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    181. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    182. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    183. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    184. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    185. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    186. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    187. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    188. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    189. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    190. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    191. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    192. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    193. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    194. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    195. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    196. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    197. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    198. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    199. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    200. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    201. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    202. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    203. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    204. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    205. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    206. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    207. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    208. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    209. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    210. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    211. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    212. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    213. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    214. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    215. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    216. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    217. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    218. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    219. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    220. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    221. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    222. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    223. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    224. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    225. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    226. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    227. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    228. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    229. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    230. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    231. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    232. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    233. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    234. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    235. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    236. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    237. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    238. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    239. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    240. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    241. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    242. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    243. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    244. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    245. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    246. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    247. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    248. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    249. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    250. linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
    251. linear OOA(256¹, 21846, F₂₅₆, 3, 1) (dual of [(21846, 3), 65537, 2]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(256¹, s, F₂₅₆, 3, 1) for arbitrarily large s, using
        appending 2 arbitrary columns [i] based on linear OA(256¹, s, F₂₅₆, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [i]
    252. linear OOA(256¹, 21846, F₂₅₆, 3, 1) (dual of [(21846, 3), 65537, 2]-NRT-code) (see above)
    253. linear OOA(256¹, 21846, F₂₅₆, 3, 1) (dual of [(21846, 3), 65537, 2]-NRT-code) (see above)
    254. linear OOA(256³, 21846, F₂₅₆, 3, 2) (dual of [(21846, 3), 65535, 3]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(256³, 65793, F₂₅₆, 3, 2) (dual of [(65793, 3), 197376, 3]-NRT-code), using
        appending 1 arbitrary column [i] based on linear OOA(256³, 65793, F₂₅₆, 2, 2) (dual of [(65793, 2), 131583, 3]-NRT-code), using
        appending kth column [i] based on linear OA(256³, 65793, F₂₅₆, 2) (dual of [65793, 65790, 3]-code), using
        Hamming code H(3,256) [i]
    255. linear OOA(256⁴, 21846, F₂₅₆, 3, 3) (dual of [(21846, 3), 65534, 4]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(256⁴, 65536, F₂₅₆, 3, 3) (dual of [(65536, 3), 196604, 4]-NRT-code), using
        OOA stacking with additional row [i] based on linear OA(256⁴, 65537, F₂₅₆, 3) (dual of [65537, 65533, 4]-code or 65537-cap in PG(3,256)) (see above)
    256. linear OOA(256¹¹, 21846, F₂₅₆, 3, 6) (dual of [(21846, 3), 65527, 7]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(256¹¹, 65538, F₂₅₆, 6) (dual of [65538, 65527, 7]-code), using
        constructionÂ X applied to C_e(5) âŠ‚ C_e(4) [i] based on
        linear OA(256¹¹, 65536, F₂₅₆, 6) (dual of [65536, 65525, 7]-code), using an extension C_e(5) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 6 [i]
        linear OA(256⁹, 65536, F₂₅₆, 5) (dual of [65536, 65527, 6]-code), using an extension C_e(4) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,4], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [i]
        linear OA(256⁰, 2, F₂₅₆, 0) (dual of [2, 2, 1]-code), using
        discarding factors / shortening the dual code based on linear OA(256⁰, s, F₂₅₆, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
        OA with only one run / dual of code without redundancy [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:

	Result		Method
1	Linear OOA(256²⁷, large, F₂₅₆, 4, 5)	[i]	Strength Reduction for OOAs
2	Linear OOA(256²⁷, large, F₂₅₆, 4, 4)	[i]
3	Linear OOA(256²⁷, large, F₂₅₆, 4, 3)	[i]