Information on Result #1080891
Linear OOA(359, 4928, F3, 4, 9) (dual of [(4928, 4), 19653, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(35, 8, F3, 4, 4) (dual of [(8, 4), 27, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(35, 8, F3, 3, 4) (dual of [(8, 3), 19, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 8)-net over F3, using
- appending kth column [i] based on linear OOA(35, 8, F3, 3, 4) (dual of [(8, 3), 19, 5]-NRT-code), using
- linear OOA(354, 4920, F3, 4, 9) (dual of [(4920, 4), 19626, 10]-NRT-code), using
- OOA 4-folding [i] based on linear OA(354, 19680, F3, 9) (dual of [19680, 19626, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(354, 19682, F3, 9) (dual of [19682, 19628, 10]-code), using
- the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(354, 19682, F3, 9) (dual of [19682, 19628, 10]-code), using
- OOA 4-folding [i] based on linear OA(354, 19680, F3, 9) (dual of [19680, 19626, 10]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(359, 4927, F3, 5, 9) (dual of [(4927, 5), 24576, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(359, 4927, F3, 12, 9) (dual of [(4927, 12), 59065, 10]-NRT-code) | [i] | ||