Information on Result #1138096
Linear OOA(25661, 1398101, F256, 6, 20) (dual of [(1398101, 6), 8388545, 21]-NRT-code), using OOA 2-folding based on linear OOA(25661, 2796202, F256, 3, 20) (dual of [(2796202, 3), 8388545, 21]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(25658, 2796201, F256, 3, 20) (dual of [(2796201, 3), 8388545, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25658, large, F256, 20) (dual of [large, large−58, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- OOA 3-folding [i] based on linear OA(25658, large, F256, 20) (dual of [large, large−58, 21]-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(25661, 1398101, F256, 6, 19) (dual of [(1398101, 6), 8388545, 20]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(25667, 1398102, F256, 6, 20) (dual of [(1398102, 6), 8388545, 21]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(25662, 1398101, F256, 6, 20) (dual of [(1398101, 6), 8388544, 21]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(25663, 1398101, F256, 6, 20) (dual of [(1398101, 6), 8388543, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(25665, 1398101, F256, 6, 20) (dual of [(1398101, 6), 8388541, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(25666, 1398101, F256, 6, 20) (dual of [(1398101, 6), 8388540, 21]-NRT-code) | [i] | ||