Information on Result #813361
Linear OOA(3115, 29536, F3, 2, 17) (dual of [(29536, 2), 58957, 18]-NRT-code), using OOA 2-folding based on linear OA(3115, 59072, F3, 17) (dual of [59072, 58957, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3115, 59073, F3, 17) (dual of [59073, 58958, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
- linear OA(3111, 59049, F3, 17) (dual of [59049, 58938, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(391, 59049, F3, 14) (dual of [59049, 58958, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(34, 24, F3, 2) (dual of [24, 20, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(16) ⊂ Ce(13) [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(3115, 21440, F3, 3, 17) (dual of [(21440, 3), 64205, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3115, 21440, F3, 4, 17) (dual of [(21440, 4), 85645, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(3115, 21440, F3, 5, 17) (dual of [(21440, 5), 107085, 18]-NRT-code) | [i] | ||
| 4 | Digital (98, 115, 21440)-net over F3 | [i] | ||