Information on Result #1079331
Linear OOA(297, 2097153, F2, 4, 9) (dual of [(2097153, 4), 8388515, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(24, 3, F2, 4, 4) (dual of [(3, 4), 8, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;8,2) [i]
- linear OOA(293, 2097150, F2, 4, 9) (dual of [(2097150, 4), 8388507, 10]-NRT-code), using
- OOA 4-folding [i] based on linear OA(293, 8388600, F2, 9) (dual of [8388600, 8388507, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(293, large, F2, 9) (dual of [large, large−93, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(293, large, F2, 9) (dual of [large, large−93, 10]-code), using
- OOA 4-folding [i] based on linear OA(293, 8388600, F2, 9) (dual of [8388600, 8388507, 10]-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(297, 2097152, F2, 5, 9) (dual of [(2097152, 5), 10485663, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(297, 2097152, F2, 6, 9) (dual of [(2097152, 6), 12582815, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(297, 2097152, F2, 7, 9) (dual of [(2097152, 7), 14679967, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(297, 2097152, F2, 8, 9) (dual of [(2097152, 8), 16777119, 10]-NRT-code) | [i] | ||