Information on Result #992623
Linear OOA(12837, 5462, F128, 3, 19) (dual of [(5462, 3), 16349, 20]-NRT-code), using OOA 3-folding based on linear OA(12837, 16386, F128, 19) (dual of [16386, 16349, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(12837, 16384, F128, 19) (dual of [16384, 16347, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(12835, 16384, F128, 18) (dual of [16384, 16349, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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 | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(12846, 5591, F128, 3, 19) (dual of [(5591, 3), 16727, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12847, 5612, F128, 3, 19) (dual of [(5612, 3), 16789, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(12849, 5654, F128, 3, 19) (dual of [(5654, 3), 16913, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(12850, 5720, F128, 3, 19) (dual of [(5720, 3), 17110, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(12851, 5741, F128, 3, 19) (dual of [(5741, 3), 17172, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(12852, 5762, F128, 3, 19) (dual of [(5762, 3), 17234, 20]-NRT-code) | [i] | ||
| 7 | Linear OOA(12853, 5783, F128, 3, 19) (dual of [(5783, 3), 17296, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(12853, 5849, F128, 3, 19) (dual of [(5849, 3), 17494, 20]-NRT-code) | [i] | ||