Information on Result #894039
Linear OOA(9138, 8388602, F9, 2, 18) (dual of [(8388602, 2), 16777066, 19]-NRT-code), using trace code based on linear OOA(8169, 4194301, F81, 2, 18) (dual of [(4194301, 2), 8388533, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8169, 8388602, F81, 18) (dual of [8388602, 8388533, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(8169, large, F81, 18) (dual of [large, large−69, 19]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(8169, large, F81, 18) (dual of [large, large−69, 19]-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(9140, large, F9, 2, 18) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(9142, large, F9, 2, 18) | [i] | ||
| 3 | Linear OOA(9144, large, F9, 2, 18) | [i] | ||
| 4 | Linear OOA(9146, large, F9, 2, 18) | [i] | ||
| 5 | Linear OOA(9148, large, F9, 2, 18) | [i] | ||
| 6 | Linear OOA(9150, large, F9, 2, 18) | [i] | ||
| 7 | Linear OOA(9139, 8388602, F9, 2, 18) (dual of [(8388602, 2), 16777065, 19]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(9138, 4194301, F9, 3, 18) (dual of [(4194301, 3), 12582765, 19]-NRT-code) | [i] | OOA Folding | |