MinT - Information on Result #1022888

Information on Result #1022888

Linear OOA(256⁶⁵, 5789268, F₂₅₆, 3, 12) (dual of [(5789268, 3), 17367739, 13]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(256³, 65537, F₂₅₆, 3, 2) (dual of [(65537, 3), 196608, 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]
linear OOA(256⁴, 65537, F₂₅₆, 3, 3) (dual of [(65537, 3), 196607, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(256⁴, 65537, F₂₅₆, 2, 3) (dual of [(65537, 2), 131070, 4]-NRT-code), using
  - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [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(256⁸, 65792, F₂₅₆, 3, 4) (dual of [(65792, 3), 197368, 5]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 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, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  3. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  4. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  5. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  6. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  7. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  8. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  9. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  10. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  11. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  12. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  13. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  14. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  15. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  16. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  17. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  18. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  19. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  20. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  21. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  22. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  23. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  24. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  25. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  26. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  27. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  28. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  29. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  30. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  31. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  32. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  33. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  34. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  35. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  36. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  37. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  38. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  39. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  40. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  41. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  42. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  43. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  44. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  45. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  46. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  47. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  48. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  49. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  50. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  51. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  52. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  53. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  54. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  55. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  56. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  57. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  58. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  59. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  60. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  61. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  62. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  63. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  64. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  65. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  66. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  67. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  68. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  69. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  70. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  71. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  72. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  73. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  74. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  75. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  76. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  77. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  78. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  79. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  80. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  81. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  82. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  83. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  84. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  85. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  86. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  87. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  88. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  89. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  90. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  91. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  92. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  93. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  94. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  95. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  96. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  97. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  98. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  99. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  100. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  101. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  102. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  103. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  104. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  105. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  106. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  107. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  108. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  109. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  110. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  111. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  112. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  113. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  114. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  115. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  116. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  117. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  118. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  119. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  120. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  121. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  122. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  123. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  124. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  125. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  126. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  127. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  128. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  129. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  130. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  131. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  132. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  133. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  134. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  135. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  136. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  137. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  138. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  139. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  140. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  141. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  142. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  143. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  144. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  145. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  146. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  147. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  148. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  149. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  150. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  151. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  152. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  153. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  154. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  155. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  156. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  157. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  158. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  159. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  160. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  161. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  162. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  163. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  164. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  165. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  166. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  167. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  168. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  169. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  170. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  171. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  172. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  173. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  174. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  175. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  176. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  177. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  178. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  179. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  180. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  181. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  182. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  183. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  184. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  185. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  186. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  187. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  188. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  189. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  190. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  191. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  192. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  193. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  194. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  195. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  196. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  197. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  198. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  199. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  200. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  201. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  202. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  203. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  204. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  205. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  206. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  207. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  208. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  209. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  210. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  211. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  212. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  213. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  214. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  215. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  216. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  217. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  218. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  219. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  220. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  221. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  222. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  223. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  224. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  225. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  226. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  227. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  228. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  229. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  230. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  231. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  232. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  233. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  234. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  235. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  236. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  237. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  238. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  239. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  240. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  241. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  242. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  243. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  244. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  245. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  246. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  247. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  248. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  249. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  250. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  251. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  252. linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
  253. linear OOA(256¹, 257, F₂₅₆, 3, 1) (dual of [(257, 3), 770, 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]
  254. linear OOA(256¹, 257, F₂₅₆, 3, 1) (dual of [(257, 3), 770, 2]-NRT-code) (see above)
  255. linear OOA(256², 257, F₂₅₆, 3, 2) (dual of [(257, 3), 769, 3]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(3;769,256) [i]
  256. linear OOA(256⁴, 257, F₂₅₆, 3, 4) (dual of [(257, 3), 767, 5]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(3;767,256) [i]
linear OOA(256¹⁶, 2796201, F₂₅₆, 3, 6) (dual of [(2796201, 3), 8388587, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(256¹⁶, large, F₂₅₆, 6) (dual of [large, large−16, 7]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [i]
linear OOA(256³⁴, 2796201, F₂₅₆, 3, 12) (dual of [(2796201, 3), 8388569, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(256³⁴, large, F₂₅₆, 12) (dual of [large, large−34, 13]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [i]

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

None.