Information on Result #1051594
Linear OOA(2105, 8191, F2, 4, 14) (dual of [(8191, 4), 32659, 15]-NRT-code), using OOA 4-folding based on linear OA(2105, 32764, F2, 14) (dual of [32764, 32659, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2105, 32767, F2, 14) (dual of [32767, 32662, 15]-code), using
- the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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 | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2105, 8191, F2, 5, 14) (dual of [(8191, 5), 40850, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2105, 8191, F2, 6, 14) (dual of [(8191, 6), 49041, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(2105, 8191, F2, 7, 14) (dual of [(8191, 7), 57232, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(2105, 8191, F2, 8, 14) (dual of [(8191, 8), 65423, 15]-NRT-code) | [i] | ||
| 5 | Digital (91, 105, 8191)-net over F2 | [i] | ||