Information on Result #1094831
Linear OOA(356, 4925, F3, 5, 9) (dual of [(4925, 5), 24569, 10]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OA(356, 19701, F3, 9) (dual of [19701, 19645, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(356, 19703, F3, 9) (dual of [19703, 19647, 10]-code), using
- construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
- linear OA(355, 19684, F3, 9) (dual of [19684, 19629, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- 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]
- linear OA(31, 19, F3, 1) (dual of [19, 18, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
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(3236, 1682645, F3, 5, 18) (dual of [(1682645, 5), 8412989, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3237, 1682645, F3, 5, 19) (dual of [(1682645, 5), 8412988, 20]-NRT-code) | [i] | ||