Information on Result #1094606
Linear OOA(336, 6561, F3, 5, 6) (dual of [(6561, 5), 32769, 7]-NRT-code), using OA 3-folding and stacking based on linear OA(336, 19683, F3, 6) (dual of [19683, 19647, 7]-code), using
- 1 times truncation [i] based on linear OA(337, 19684, F3, 7) (dual of [19684, 19647, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(3156, 1684281, F3, 5, 12) (dual of [(1684281, 5), 8421249, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3216, 4200862, F3, 5, 12) (dual of [(4200862, 5), 21004094, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(3157, 1684281, F3, 5, 13) (dual of [(1684281, 5), 8421248, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(3232, 4200862, F3, 5, 13) (dual of [(4200862, 5), 21004078, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(336, 6561, F3, 6, 6) (dual of [(6561, 6), 39330, 7]-NRT-code) | [i] | Appending kth Column | |