Information on Result #1159651
Linear OOA(2189, 1463634, F2, 7, 13) (dual of [(1463634, 7), 10245249, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(250, 65534, F2, 7, 6) (dual of [(65534, 7), 458688, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(250, 65535, F2, 3, 6) (dual of [(65535, 3), 196555, 7]-NRT-code), using
- strength reduction [i] based on linear OOA(250, 65535, F2, 3, 7) (dual of [(65535, 3), 196555, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(250, 65535, F2, 3, 6) (dual of [(65535, 3), 196555, 7]-NRT-code), using
- linear OOA(2139, 1398100, F2, 7, 13) (dual of [(1398100, 7), 9786561, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2139, 8388601, F2, 13) (dual of [8388601, 8388462, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2139, 8388601, F2, 13) (dual of [8388601, 8388462, 14]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(2189, 1463634, F2, 7, 12) (dual of [(1463634, 7), 10245249, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2253, 2927268, F2, 7, 13) (dual of [(2927268, 7), 20490623, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |