Information on Result #1521193
Linear OOA(379, 11917, F3, 3, 12) (dual of [(11917, 3), 35672, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(379, 11917, F3, 12) (dual of [11917, 11838, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(379, 19716, F3, 12) (dual of [19716, 19637, 13]-code), using
- construction X applied to Ce(12) ⊂ Ce(7) [i] 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
- construction X applied to Ce(12) ⊂ Ce(7) [i] based on
Mode: 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, 5958, F3, 5, 12) (dual of [(5958, 5), 29711, 13]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(379, 5958, F3, 15, 12) (dual of [(5958, 15), 89291, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |