Information on Result #879022
Linear OOA(12853, 8193, F128, 2, 27) (dual of [(8193, 2), 16333, 28]-NRT-code), using OOA 2-folding based on linear OA(12853, 16386, F128, 27) (dual of [16386, 16333, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(12853, 16384, F128, 27) (dual of [16384, 16331, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(12851, 16384, F128, 26) (dual of [16384, 16333, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(12866, 8322, F128, 2, 27) (dual of [(8322, 2), 16578, 28]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12867, 8343, F128, 2, 27) (dual of [(8343, 2), 16619, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(12869, 8385, F128, 2, 27) (dual of [(8385, 2), 16701, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(12871, 8409, F128, 2, 27) (dual of [(8409, 2), 16747, 28]-NRT-code) | [i] | ||
| 5 | Linear OOA(12872, 8451, F128, 2, 27) (dual of [(8451, 2), 16830, 28]-NRT-code) | [i] | ||
| 6 | Linear OOA(12873, 8472, F128, 2, 27) (dual of [(8472, 2), 16871, 28]-NRT-code) | [i] | ||
| 7 | Linear OOA(12874, 8493, F128, 2, 27) (dual of [(8493, 2), 16912, 28]-NRT-code) | [i] | ||
| 8 | Linear OOA(12875, 8514, F128, 2, 27) (dual of [(8514, 2), 16953, 28]-NRT-code) | [i] | ||
| 9 | Linear OOA(12876, 8535, F128, 2, 27) (dual of [(8535, 2), 16994, 28]-NRT-code) | [i] | ||
| 10 | Linear OOA(12877, 8538, F128, 2, 27) (dual of [(8538, 2), 16999, 28]-NRT-code) | [i] | ||
| 11 | Linear OOA(12876, 8580, F128, 2, 27) (dual of [(8580, 2), 17084, 28]-NRT-code) | [i] | ||
| 12 | Linear OOA(12877, 8601, F128, 2, 27) (dual of [(8601, 2), 17125, 28]-NRT-code) | [i] | ||