Information on Result #894899
Linear OOA(364, 4194305, F3, 2, 7) (dual of [(4194305, 2), 8388546, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(33, 4, F3, 2, 3) (dual of [(4, 2), 5, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;5,3) [i]
- linear OOA(361, 4194301, F3, 2, 7) (dual of [(4194301, 2), 8388541, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(361, 8388602, F3, 7) (dual of [8388602, 8388541, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
- OOA 2-folding [i] based on linear OA(361, 8388602, F3, 7) (dual of [8388602, 8388541, 8]-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(364, 4194305, F3, 3, 7) (dual of [(4194305, 3), 12582851, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(364, 4194305, F3, 4, 7) (dual of [(4194305, 4), 16777156, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(364, 4194305, F3, 5, 7) (dual of [(4194305, 5), 20971461, 8]-NRT-code) | [i] | ||
| 4 | Digital (57, 64, 4194305)-net over F3 | [i] | ||