Information on Result #1080916
Linear OOA(3116, 2894311, F3, 4, 9) (dual of [(2894311, 4), 11577128, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(326, 797161, F3, 4, 4) (dual of [(797161, 4), 3188618, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(326, 797161, F3, 3, 4) (dual of [(797161, 3), 2391457, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (22, 26, 797161)-net over F3, using
- appending kth column [i] based on linear OOA(326, 797161, F3, 3, 4) (dual of [(797161, 3), 2391457, 5]-NRT-code), using
- linear OOA(390, 2097150, F3, 4, 9) (dual of [(2097150, 4), 8388510, 10]-NRT-code), using
- OOA 4-folding [i] based on linear OA(390, 8388600, F3, 9) (dual of [8388600, 8388510, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(390, large, F3, 9) (dual of [large, large−90, 10]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(390, large, F3, 9) (dual of [large, large−90, 10]-code), using
- OOA 4-folding [i] based on linear OA(390, 8388600, F3, 9) (dual of [8388600, 8388510, 10]-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(3116, 2894310, F3, 5, 9) (dual of [(2894310, 5), 14471434, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(3116, 2894310, F3, 12, 9) (dual of [(2894310, 12), 34731604, 10]-NRT-code) | [i] | ||