Information on Result #1466340
Linear OOA(3136, 4194350, F3, 2, 13) (dual of [(4194350, 2), 8388564, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(315, 49, F3, 2, 6) (dual of [(49, 2), 83, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(315, 49, F3, 6) (dual of [49, 34, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(315, 49, F3, 6) (dual of [49, 34, 7]-code), using
- linear OOA(3121, 4194301, F3, 2, 13) (dual of [(4194301, 2), 8388481, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3121, 8388602, F3, 13) (dual of [8388602, 8388481, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- OOA 2-folding [i] based on linear OA(3121, 8388602, F3, 13) (dual of [8388602, 8388481, 14]-code), using
Mode: 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(3136, 4194350, F3, 3, 13) (dual of [(4194350, 3), 12582914, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3136, 4194350, F3, 4, 13) (dual of [(4194350, 4), 16777264, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(3136, 4194350, F3, 5, 13) (dual of [(4194350, 5), 20971614, 14]-NRT-code) | [i] | ||
| 4 | Digital (123, 136, 4194350)-net over F3 | [i] | ||