Information on Result #894022
Linear OOA(8154, 8388602, F8, 2, 20) (dual of [(8388602, 2), 16777050, 21]-NRT-code), using trace code based on linear OOA(6477, 4194301, F64, 2, 20) (dual of [(4194301, 2), 8388525, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6477, 8388602, F64, 20) (dual of [8388602, 8388525, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(6477, large, F64, 20) (dual of [large, large−77, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(6477, large, F64, 20) (dual of [large, large−77, 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(8156, large, F8, 2, 20) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8158, large, F8, 2, 20) | [i] | ||
| 3 | Linear OOA(8160, large, F8, 2, 20) | [i] | ||
| 4 | Linear OOA(8162, large, F8, 2, 20) | [i] | ||
| 5 | Linear OOA(8164, large, F8, 2, 20) | [i] | ||
| 6 | Linear OOA(8166, large, F8, 2, 20) | [i] | ||
| 7 | Linear OOA(8168, large, F8, 2, 20) | [i] | ||
| 8 | Linear OOA(8170, large, F8, 2, 20) | [i] | ||
| 9 | Linear OOA(8172, large, F8, 2, 20) | [i] | ||
| 10 | Linear OOA(8155, 8388602, F8, 2, 20) (dual of [(8388602, 2), 16777049, 21]-NRT-code) | [i] | OOA Duplication | |
| 11 | Linear OOA(8154, 4194301, F8, 3, 20) (dual of [(4194301, 3), 12582749, 21]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(8154, 1677720, F8, 22, 20) (dual of [(1677720, 22), 36909686, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |