Information on Result #611585
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)
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 OA(336, 19683, F3, 6) (dual of [19683, 19647, 7]-code) | [i] | Truncation | |
| 2 | Linear OA(340, 19688, F3, 7) (dual of [19688, 19648, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(356, 19703, F3, 9) (dual of [19703, 19647, 10]-code) | [i] | ✔ | |
| 4 | Linear OA(339, 19688, F3, 6) (dual of [19688, 19649, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(356, 19704, F3, 9) (dual of [19704, 19648, 10]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 6 | Linear OOA(337, 9842, F3, 2, 7) (dual of [(9842, 2), 19647, 8]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(337, 6561, F3, 4, 7) (dual of [(6561, 4), 26207, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 8 | Linear OOA(337, 6561, F3, 5, 7) (dual of [(6561, 5), 32768, 8]-NRT-code) | [i] | ||
| 9 | Linear OOA(337, 6561, F3, 7, 7) (dual of [(6561, 7), 45890, 8]-NRT-code) | [i] | ||