Information on Result #894958
Linear OOA(3101, 4194543, F3, 2, 9) (dual of [(4194543, 2), 8388985, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(311, 242, F3, 2, 4) (dual of [(242, 2), 473, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 11, 242)-net over F3, using
- linear OOA(390, 4194301, F3, 2, 9) (dual of [(4194301, 2), 8388512, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(390, 8388602, F3, 9) (dual of [8388602, 8388512, 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 2-folding [i] based on linear OA(390, 8388602, F3, 9) (dual of [8388602, 8388512, 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(3101, 2097271, F3, 4, 9) (dual of [(2097271, 4), 8388983, 10]-NRT-code) | [i] | OOA Folding | |