Information on Result #1118827
Linear OOA(25662, 3355440, F256, 5, 15) (dual of [(3355440, 5), 16777138, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25619, 2796200, F256, 5, 7) (dual of [(2796200, 5), 13980981, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(25619, 8388601, F256, 7) (dual of [8388601, 8388582, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(25619, 8388601, F256, 7) (dual of [8388601, 8388582, 8]-code), using
- linear OOA(25643, 1677720, F256, 5, 15) (dual of [(1677720, 5), 8388557, 16]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25643, 8388600, F256, 15) (dual of [8388600, 8388557, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- OOA 5-folding [i] based on linear OA(25643, 8388600, F256, 15) (dual of [8388600, 8388557, 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(25662, 3355440, F256, 5, 14) (dual of [(3355440, 5), 16777138, 15]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(25663, 3355440, F256, 5, 15) (dual of [(3355440, 5), 16777137, 16]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(25664, 3355440, F256, 5, 15) (dual of [(3355440, 5), 16777136, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(25665, 3355440, F256, 5, 15) (dual of [(3355440, 5), 16777135, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(25666, 3355440, F256, 5, 15) (dual of [(3355440, 5), 16777134, 16]-NRT-code) | [i] | ||