Information on Result #843521
Linear OOA(857, 4194301, F8, 2, 9) (dual of [(4194301, 2), 8388545, 10]-NRT-code), using OOA 2-folding based on linear OA(857, 8388602, F8, 9) (dual of [8388602, 8388545, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(857, large, F8, 9) (dual of [large, large−57, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
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(857, 4194301, F8, 2, 8) (dual of [(4194301, 2), 8388545, 9]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(859, 4194302, F8, 2, 9) (dual of [(4194302, 2), 8388545, 10]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(858, 4194301, F8, 2, 9) (dual of [(4194301, 2), 8388544, 10]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(861, 4194310, F8, 2, 9) (dual of [(4194310, 2), 8388559, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(862, 4194315, F8, 2, 9) (dual of [(4194315, 2), 8388568, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(863, 4194329, F8, 2, 9) (dual of [(4194329, 2), 8388595, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(864, 4194366, F8, 2, 9) (dual of [(4194366, 2), 8388668, 10]-NRT-code) | [i] | ||
| 8 | Linear OOA(865, 4194431, F8, 2, 9) (dual of [(4194431, 2), 8388797, 10]-NRT-code) | [i] | ||