Information on Result #1095405
Linear OOA(2133, 104857, F2, 5, 14) (dual of [(104857, 5), 524152, 15]-NRT-code), using OOA 5-folding based on linear OA(2133, 524285, F2, 14) (dual of [524285, 524152, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2133, 524287, F2, 14) (dual of [524287, 524154, 15]-code), using
- 1 times truncation [i] based on linear OA(2134, 524288, F2, 15) (dual of [524288, 524154, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- 1 times truncation [i] based on linear OA(2134, 524288, F2, 15) (dual of [524288, 524154, 16]-code), 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(2133, 104857, F2, 6, 14) (dual of [(104857, 6), 629009, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2133, 104857, F2, 7, 14) (dual of [(104857, 7), 733866, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(2133, 104857, F2, 8, 14) (dual of [(104857, 8), 838723, 15]-NRT-code) | [i] | ||
| 4 | Digital (119, 133, 104857)-net over F2 | [i] | ||