Information on Result #1175631
Linear OOA(2226, 2396742, F2, 8, 14) (dual of [(2396742, 8), 19173710, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(265, 2097150, F2, 8, 7) (dual of [(2097150, 8), 16777135, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(265, 2097151, F2, 3, 7) (dual of [(2097151, 3), 6291388, 8]-NRT-code), using
- linear OOA(2161, 1198371, F2, 8, 14) (dual of [(1198371, 8), 9586807, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(2161, 8388597, F2, 14) (dual of [8388597, 8388436, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(2161, 8388597, F2, 14) (dual of [8388597, 8388436, 15]-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(2228, 2396742, F2, 8, 14) (dual of [(2396742, 8), 19173708, 15]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2229, 2396742, F2, 8, 14) (dual of [(2396742, 8), 19173707, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(2230, 2396742, F2, 8, 14) (dual of [(2396742, 8), 19173706, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(2231, 2396742, F2, 8, 14) (dual of [(2396742, 8), 19173705, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(2232, 2396742, F2, 8, 14) (dual of [(2396742, 8), 19173704, 15]-NRT-code) | [i] | ||