Information on Result #954124
Linear OOA(3227, 59062, F3, 3, 30) (dual of [(59062, 3), 176959, 31]-NRT-code), using OOA 3-folding based on linear OA(3227, 177186, F3, 30) (dual of [177186, 176959, 31]-code), using
- construction X applied to Ce(30) ⊂ Ce(25) [i] based on
- linear OA(3221, 177147, F3, 31) (dual of [177147, 176926, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3188, 177147, F3, 26) (dual of [177147, 176959, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(36, 39, F3, 3) (dual of [39, 33, 4]-code or 39-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(3228, 59062, F3, 3, 30) (dual of [(59062, 3), 176958, 31]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3227, 59062, F3, 4, 30) (dual of [(59062, 4), 236021, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3227, 59062, F3, 5, 30) (dual of [(59062, 5), 295083, 31]-NRT-code) | [i] | ||
| 4 | Digital (197, 227, 59062)-net over F3 | [i] | ||