Information on Result #894021
Linear OOA(8146, 8388602, F8, 2, 19) (dual of [(8388602, 2), 16777058, 20]-NRT-code), using trace code based on linear OOA(6473, 4194301, F64, 2, 19) (dual of [(4194301, 2), 8388529, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6473, 8388602, F64, 19) (dual of [8388602, 8388529, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-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(8148, large, F8, 2, 19) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8150, large, F8, 2, 19) | [i] | ||
| 3 | Linear OOA(8152, large, F8, 2, 19) | [i] | ||
| 4 | Linear OOA(8154, large, F8, 2, 19) | [i] | ||
| 5 | Linear OOA(8156, large, F8, 2, 19) | [i] | ||
| 6 | Linear OOA(8158, large, F8, 2, 19) | [i] | ||
| 7 | Linear OOA(8160, large, F8, 2, 19) | [i] | ||
| 8 | Linear OOA(8162, large, F8, 2, 19) | [i] | ||
| 9 | Linear OOA(8164, large, F8, 2, 19) | [i] | ||
| 10 | Linear OOA(8166, large, F8, 2, 19) | [i] | ||
| 11 | Linear OOA(8168, large, F8, 2, 19) | [i] | ||
| 12 | Linear OOA(8170, large, F8, 2, 19) | [i] | ||
| 13 | Linear OOA(8172, large, F8, 2, 19) | [i] | ||
| 14 | Linear OOA(8147, 8388602, F8, 2, 19) (dual of [(8388602, 2), 16777057, 20]-NRT-code) | [i] | OOA Duplication | |
| 15 | Linear OOA(8146, 4194301, F8, 3, 19) (dual of [(4194301, 3), 12582757, 20]-NRT-code) | [i] | OOA Folding | |