Information on Result #813358
Linear OOA(3110, 9861, F3, 2, 17) (dual of [(9861, 2), 19612, 18]-NRT-code), using OOA 2-folding based on linear OA(3110, 19722, F3, 17) (dual of [19722, 19612, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(10) [i] based on
- linear OA(3100, 19683, F3, 17) (dual of [19683, 19583, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(364, 19683, F3, 11) (dual of [19683, 19619, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(310, 39, F3, 5) (dual of [39, 29, 6]-code), 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(3110, 9861, F3, 3, 17) (dual of [(9861, 3), 29473, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3110, 9861, F3, 4, 17) (dual of [(9861, 4), 39334, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(3110, 9861, F3, 5, 17) (dual of [(9861, 5), 49195, 18]-NRT-code) | [i] | ||
| 4 | Digital (93, 110, 9861)-net over F3 | [i] | ||