Information on Result #2227741
Linear OA(336, 19683, F3, 6) (dual of [19683, 19647, 7]-code), using 1 times truncation 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(336, 16548, F3, 2, 6) (dual of [(16548, 2), 33060, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(336, 16548, F3, 3, 6) (dual of [(16548, 3), 49608, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(336, 16548, F3, 4, 6) (dual of [(16548, 4), 66156, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(336, 16548, F3, 5, 6) (dual of [(16548, 5), 82704, 7]-NRT-code) | [i] | ||
| 5 | Linear OOA(336, 9841, F3, 2, 6) (dual of [(9841, 2), 19646, 7]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(336, 6561, F3, 3, 6) (dual of [(6561, 3), 19647, 7]-NRT-code) | [i] | ||
| 7 | Linear OOA(336, 6561, F3, 4, 6) (dual of [(6561, 4), 26208, 7]-NRT-code) | [i] | OA Folding and Stacking | |
| 8 | Linear OOA(336, 6561, F3, 5, 6) (dual of [(6561, 5), 32769, 7]-NRT-code) | [i] | ||