Information on Result #1175280
Linear OOA(2107, 2097278, F2, 8, 9) (dual of [(2097278, 8), 16778117, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(214, 128, F2, 8, 4) (dual of [(128, 8), 1010, 5]-NRT-code), using
- appending 4 arbitrary columns [i] based on linear OOA(214, 128, F2, 4, 4) (dual of [(128, 4), 498, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(214, 128, F2, 3, 4) (dual of [(128, 3), 370, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 14, 128)-net over F2, using
- appending kth column [i] based on linear OOA(214, 128, F2, 3, 4) (dual of [(128, 3), 370, 5]-NRT-code), using
- appending 4 arbitrary columns [i] based on linear OOA(214, 128, F2, 4, 4) (dual of [(128, 4), 498, 5]-NRT-code), using
- linear OOA(293, 2097150, F2, 8, 9) (dual of [(2097150, 8), 16777107, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(293, 8388601, F2, 9) (dual of [8388601, 8388508, 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 and stacking with additional row [i] based on linear OA(293, 8388601, F2, 9) (dual of [8388601, 8388508, 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(2107, 2097278, F2, 9, 9) (dual of [(2097278, 9), 18875395, 10]-NRT-code) | [i] | Appending kth Column | |