MinT - Information on Result #944878

Information on Result #944878

Linear OOA(128¹⁶, 2113535, F₁₂₈, 3, 5) (dual of [(2113535, 3), 6340589, 6]-NRT-code), using OOA stacking with additional row based on linear OOA(128¹⁶, 2113536, F₁₂₈, 2, 5) (dual of [(2113536, 2), 4227056, 6]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(128⁰, s, F₁₂₈, 2, 0) for arbitrarily large s, using
    - OOA with only one run / dual of NRT-code without redundancy [i]
2. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
3. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
4. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
5. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
6. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
7. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
8. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
9. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
10. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
11. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
12. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
13. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
14. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
15. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
16. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
17. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
18. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
19. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
20. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
21. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
22. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
23. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
24. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
25. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
26. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
27. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
28. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
29. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
30. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
31. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
32. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
33. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
34. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
35. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
36. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
37. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
38. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
39. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
40. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
41. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
42. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
43. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
44. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
45. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
46. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
47. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
48. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
49. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
50. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
51. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
52. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
53. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
54. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
55. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
56. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
57. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
58. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
59. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
60. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
61. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
62. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
63. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
64. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
65. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
66. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
67. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
68. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
69. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
70. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
71. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
72. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
73. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
74. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
75. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
76. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
77. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
78. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
79. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
80. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
81. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
82. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
83. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
84. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
85. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
86. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
87. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
88. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
89. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
90. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
91. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
92. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
93. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
94. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
95. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
96. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
97. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
98. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
99. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
100. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
101. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
102. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
103. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
104. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
105. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
106. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
107. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
108. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
109. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
110. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
111. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
112. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
113. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
114. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
115. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
116. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
117. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
118. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
119. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
120. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
121. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
122. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
123. linear OOA(128⁰, 16512, F₁₂₈, 2, 0) (dual of [(16512, 2), 33024, 1]-NRT-code) (see above)
124. linear OOA(128¹, 16512, F₁₂₈, 2, 1) (dual of [(16512, 2), 33023, 2]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(128¹, s, F₁₂₈, 2, 1) for arbitrarily large s, using
    - appending 1 arbitrary column [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, 16512, F₁₂₈, 2, 1) (dual of [(16512, 2), 33023, 2]-NRT-code) (see above)
126. linear OOA(128¹, 16512, F₁₂₈, 2, 1) (dual of [(16512, 2), 33023, 2]-NRT-code) (see above)
127. linear OOA(128³, 16512, F₁₂₈, 2, 2) (dual of [(16512, 2), 33021, 3]-NRT-code), using
  - discarding factors / shortening the dual code 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(128¹⁰, 16512, F₁₂₈, 2, 5) (dual of [(16512, 2), 33014, 6]-NRT-code), using
  - generalized (u,Â u+v)-construction [i] based on
    1. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(128⁰, s, F₁₂₈, 2, 0) for arbitrarily large s (see above)
    2. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    3. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    4. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    5. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    6. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    7. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    8. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    9. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    10. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    11. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    12. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    13. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    14. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    15. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    16. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    17. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    18. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    19. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    20. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    21. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    22. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    23. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    24. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    25. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    26. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    27. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    28. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    29. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    30. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    31. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    32. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    33. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    34. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    35. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    36. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    37. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    38. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    39. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    40. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    41. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    42. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    43. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    44. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    45. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    46. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    47. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    48. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    49. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    50. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    51. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    52. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    53. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    54. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    55. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    56. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    57. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    58. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    59. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    60. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    61. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    62. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    63. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    64. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    65. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    66. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    67. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    68. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    69. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    70. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    71. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    72. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    73. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    74. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    75. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    76. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    77. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    78. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    79. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    80. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    81. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    82. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    83. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    84. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    85. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    86. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    87. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    88. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    89. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    90. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    91. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    92. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    93. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    94. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    95. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    96. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    97. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    98. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    99. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    100. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    101. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    102. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    103. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    104. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    105. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    106. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    107. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    108. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    109. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    110. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    111. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    112. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    113. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    114. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    115. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    116. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    117. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    118. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    119. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    120. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    121. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    122. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    123. linear OOA(128⁰, 129, F₁₂₈, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
    124. linear OOA(128¹, 129, F₁₂₈, 2, 1) (dual of [(129, 2), 257, 2]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(128¹, s, F₁₂₈, 2, 1) for arbitrarily large s (see above)
    125. linear OOA(128¹, 129, F₁₂₈, 2, 1) (dual of [(129, 2), 257, 2]-NRT-code) (see above)
    126. linear OOA(128¹, 129, F₁₂₈, 2, 1) (dual of [(129, 2), 257, 2]-NRT-code) (see above)
    127. linear OOA(128², 129, F₁₂₈, 2, 2) (dual of [(129, 2), 256, 3]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;256,128) [i]
    128. linear OOA(128⁵, 129, F₁₂₈, 2, 5) (dual of [(129, 2), 253, 6]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;253,128) [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:

	Result		Method
1	Linear OOA(128⁵³, 4909736, F₁₂₈, 3, 10) (dual of [(4909736, 3), 14729155, 11]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(128⁶⁶, 5958313, F₁₂₈, 3, 10) (dual of [(5958313, 3), 17874873, 11]-NRT-code)	[i]
3	Linear OOA(128⁵⁷, 4909736, F₁₂₈, 3, 11) (dual of [(4909736, 3), 14729151, 12]-NRT-code)	[i]
4	Linear OOA(128⁷⁰, 5958313, F₁₂₈, 3, 11) (dual of [(5958313, 3), 17874869, 12]-NRT-code)	[i]