Information on Result #992446
Linear OOA(12840, 699051, F128, 3, 14) (dual of [(699051, 3), 2097113, 15]-NRT-code), using OOA 3-folding based on linear OA(12840, 2097153, F128, 14) (dual of [2097153, 2097113, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(12840, 2097155, F128, 14) (dual of [2097155, 2097115, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(12840, 2097152, F128, 14) (dual of [2097152, 2097112, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(12837, 2097152, F128, 13) (dual of [2097152, 2097115, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 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
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
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(12847, 699180, F128, 3, 14) (dual of [(699180, 3), 2097493, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12848, 699201, F128, 3, 14) (dual of [(699201, 3), 2097555, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(12850, 699309, F128, 3, 14) (dual of [(699309, 3), 2097877, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(12851, 699330, F128, 3, 14) (dual of [(699330, 3), 2097939, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(12852, 699351, F128, 3, 14) (dual of [(699351, 3), 2098001, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(12852, 699438, F128, 3, 14) (dual of [(699438, 3), 2098262, 15]-NRT-code) | [i] | ||