Information on Result #1079221
Linear OOA(3116, 8388600, F3, 4, 8) (dual of [(8388600, 4), 33554284, 9]-NRT-code), using trace code based on linear OOA(8129, 2097150, F81, 4, 8) (dual of [(2097150, 4), 8388571, 9]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8129, 8388600, F81, 8) (dual of [8388600, 8388571, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(8129, large, F81, 8) (dual of [large, large−29, 9]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(8129, large, F81, 8) (dual of [large, large−29, 9]-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(3117, 8388600, F3, 4, 8) (dual of [(8388600, 4), 33554283, 9]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3118, 8388600, F3, 4, 8) (dual of [(8388600, 4), 33554282, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(3119, 8388600, F3, 4, 8) (dual of [(8388600, 4), 33554281, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(3120, large, F3, 4, 8) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(3116, 8388599, F3, 5, 8) (dual of [(8388599, 5), 41942879, 9]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 6 | Linear OOA(3116, 8388599, F3, 12, 8) (dual of [(8388599, 12), 100663072, 9]-NRT-code) | [i] | ||