Information on Result #1175685
Linear OOA(2191, 1198881, F2, 8, 15) (dual of [(1198881, 8), 9590857, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(229, 510, F2, 8, 7) (dual of [(510, 8), 4051, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(229, 511, F2, 3, 7) (dual of [(511, 3), 1504, 8]-NRT-code), using
- linear OOA(2162, 1198371, F2, 8, 15) (dual of [(1198371, 8), 9586806, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(2162, 8388598, F2, 15) (dual of [8388598, 8388436, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(2162, 8388598, F2, 15) (dual of [8388598, 8388436, 16]-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(2191, 1198881, F2, 8, 14) (dual of [(1198881, 8), 9590857, 15]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2192, 1198881, F2, 8, 15) (dual of [(1198881, 8), 9590856, 16]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2193, 1198881, F2, 8, 15) (dual of [(1198881, 8), 9590855, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(2256, 2397762, F2, 8, 15) (dual of [(2397762, 8), 19181840, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |