Information on Result #1010428
Linear OOA(380, 4287145, F3, 3, 7) (dual of [(4287145, 3), 12861355, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(319, 1490944, F3, 3, 3) (dual of [(1490944, 3), 4472813, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(319, 1490944, F3, 2, 3) (dual of [(1490944, 2), 2981869, 4]-NRT-code), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(319, 1490944, F3, 3) (dual of [1490944, 1490925, 4]-code or 1490944-cap in PG(18,3)), using
- appending kth column [i] based on linear OOA(319, 1490944, F3, 2, 3) (dual of [(1490944, 2), 2981869, 4]-NRT-code), using
- linear OOA(361, 2796201, F3, 3, 7) (dual of [(2796201, 3), 8388542, 8]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(361, large, F3, 7) (dual of [large, large−61, 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(380, 4287144, F3, 4, 7) (dual of [(4287144, 4), 17148496, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(380, 4287144, F3, 5, 7) (dual of [(4287144, 5), 21435640, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(380, 4287144, F3, 9, 7) (dual of [(4287144, 9), 38584216, 8]-NRT-code) | [i] | ||