Information on Result #675201
Linear OA(379, 19716, F3, 12) (dual of [19716, 19637, 13]-code), using construction X applied to Ce(12) ⊂ Ce(7) based on
- linear OA(373, 19683, F3, 13) (dual of [19683, 19610, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(346, 19683, F3, 8) (dual of [19683, 19637, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(36, 33, F3, 3) (dual of [33, 27, 4]-code or 33-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
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(379, 11917, F3, 2, 12) (dual of [(11917, 2), 23755, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(379, 11917, F3, 3, 12) (dual of [(11917, 3), 35672, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(379, 11917, F3, 4, 12) (dual of [(11917, 4), 47589, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(379, 11917, F3, 5, 12) (dual of [(11917, 5), 59506, 13]-NRT-code) | [i] | ||
| 5 | Digital (67, 79, 11917)-net over F3 | [i] | ||
| 6 | Linear OOA(379, 9858, F3, 2, 12) (dual of [(9858, 2), 19637, 13]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(379, 6572, F3, 3, 12) (dual of [(6572, 3), 19637, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(379, 4929, F3, 4, 12) (dual of [(4929, 4), 19637, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(379, 3943, F3, 5, 12) (dual of [(3943, 5), 19636, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(379, 3286, F3, 12, 12) (dual of [(3286, 12), 39353, 13]-NRT-code) | [i] | OA Folding and Stacking | |