Information on Result #1081060
Linear OOA(3175, 4194343, F3, 4, 12) (dual of [(4194343, 4), 16777197, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(313, 42, F3, 4, 6) (dual of [(42, 4), 155, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 13, 42)-net over F3, using
- linear OOA(3162, 4194301, F3, 4, 12) (dual of [(4194301, 4), 16777042, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3162, 8388602, F3, 2, 12) (dual of [(8388602, 2), 16777042, 13]-NRT-code), using
- trace code [i] based on linear OOA(981, 4194301, F9, 2, 12) (dual of [(4194301, 2), 8388521, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(981, 8388602, F9, 12) (dual of [8388602, 8388521, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(981, large, F9, 12) (dual of [large, large−81, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(981, large, F9, 12) (dual of [large, large−81, 13]-code), using
- OOA 2-folding [i] based on linear OA(981, 8388602, F9, 12) (dual of [8388602, 8388521, 13]-code), using
- trace code [i] based on linear OOA(981, 4194301, F9, 2, 12) (dual of [(4194301, 2), 8388521, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3162, 8388602, F3, 2, 12) (dual of [(8388602, 2), 16777042, 13]-NRT-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(3176, 4194343, F3, 4, 12) (dual of [(4194343, 4), 16777196, 13]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3177, 4194343, F3, 4, 12) (dual of [(4194343, 4), 16777195, 13]-NRT-code) | [i] | ||