Information on Result #992356
Linear OOA(12831, 699051, F128, 3, 11) (dual of [(699051, 3), 2097122, 12]-NRT-code), using OOA 3-folding based on linear OA(12831, 2097153, F128, 11) (dual of [2097153, 2097122, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [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(12836, 699180, F128, 3, 11) (dual of [(699180, 3), 2097504, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12837, 699201, F128, 3, 11) (dual of [(699201, 3), 2097566, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(12838, 707179, F128, 3, 11) (dual of [(707179, 3), 2121499, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(12840, 707308, F128, 3, 11) (dual of [(707308, 3), 2121884, 12]-NRT-code) | [i] | ||
| 5 | Linear OOA(12863, 7591758, F128, 3, 11) (dual of [(7591758, 3), 22775211, 12]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(12864, large, F128, 3, 11) | [i] | ||
| 7 | Linear OOA(12862, 6291459, F128, 3, 11) (dual of [(6291459, 3), 18874315, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(12861, 5592408, F128, 3, 11) (dual of [(5592408, 3), 16777163, 12]-NRT-code) | [i] | ||