Information on Result #2485921
Linear OOA(390, 9859, F3, 2, 14) (dual of [(9859, 2), 19628, 15]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(388, 9858, F3, 2, 14) (dual of [(9858, 2), 19628, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(388, 19716, F3, 14) (dual of [19716, 19628, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- linear OA(382, 19683, F3, 14) (dual of [19683, 19601, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(355, 19683, F3, 10) (dual of [19683, 19628, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(13) ⊂ Ce(9) [i] based on
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(390, 9859, F3, 3, 14) (dual of [(9859, 3), 29487, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(390, 9859, F3, 4, 14) (dual of [(9859, 4), 39346, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(390, 9859, F3, 5, 14) (dual of [(9859, 5), 49205, 15]-NRT-code) | [i] | ||
| 4 | Digital (76, 90, 9859)-net over F3 | [i] | ||