Information on Result #954135
Linear OOA(3247, 177161, F3, 3, 30) (dual of [(177161, 3), 531236, 31]-NRT-code), using OOA 3-folding based on linear OA(3247, 531483, F3, 30) (dual of [531483, 531236, 31]-code), using
- construction X applied to Ce(30) ⊂ Ce(25) [i] based on
- linear OA(3241, 531441, F3, 31) (dual of [531441, 531200, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3205, 531441, F3, 26) (dual of [531441, 531236, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(36, 42, F3, 3) (dual of [42, 36, 4]-code or 42-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(3248, 177161, F3, 3, 30) (dual of [(177161, 3), 531235, 31]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3247, 158414, F3, 4, 30) (dual of [(158414, 4), 633409, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3247, 158414, F3, 5, 30) (dual of [(158414, 5), 791823, 31]-NRT-code) | [i] | ||
| 4 | Digital (217, 247, 158414)-net over F3 | [i] | ||