MinT - Information on Result #876269

Information on Result #876269

Linear OOA(81¹⁶, 272201, F₈₁, 2, 5) (dual of [(272201, 2), 544386, 6]-NRT-code), using OOA 2-folding based on linear OA(81¹⁶, 544402, F₈₁, 5) (dual of [544402, 544386, 6]-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code), using
  - discarding factors / shortening the dual code based on linear OA(81⁰, s, F₈₁, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
    - OA with only one run / dual of code without redundancy [i]
2. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
3. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
4. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
5. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
6. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
7. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
8. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
9. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
10. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
11. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
12. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
13. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
14. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
15. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
16. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
17. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
18. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
19. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
20. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
21. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
22. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
23. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
24. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
25. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
26. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
27. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
28. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
29. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
30. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
31. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
32. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
33. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
34. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
35. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
36. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
37. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
38. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
39. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
40. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
41. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
42. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
43. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
44. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
45. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
46. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
47. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
48. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
49. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
50. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
51. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
52. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
53. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
54. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
55. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
56. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
57. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
58. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
59. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
60. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
61. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
62. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
63. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
64. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
65. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
66. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
67. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
68. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
69. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
70. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
71. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
72. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
73. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
74. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
75. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
76. linear OA(81⁰, 6643, F₈₁, 0) (dual of [6643, 6643, 1]-code) (see above)
77. linear OA(81¹, 6643, F₈₁, 1) (dual of [6643, 6642, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(81¹, s, F₈₁, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [i]
78. linear OA(81¹, 6643, F₈₁, 1) (dual of [6643, 6642, 2]-code) (see above)
79. linear OA(81¹, 6643, F₈₁, 1) (dual of [6643, 6642, 2]-code) (see above)
80. linear OA(81³, 6643, F₈₁, 2) (dual of [6643, 6640, 3]-code), using
  - Hamming code H(3,81) [i]
81. linear OA(81¹⁰, 12962, F₈₁, 5) (dual of [12962, 12952, 6]-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OA(81³, 6481, F₈₁, 2) (dual of [6481, 6478, 3]-code), using
      - discarding factors / shortening the dual code based on linear OA(81³, 6643, F₈₁, 2) (dual of [6643, 6640, 3]-code) (see above)
    2. linear OA(81⁷, 6481, F₈₁, 5) (dual of [6481, 6474, 6]-code), using
      - a code by Danev and Olsson [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

None.