Information on Result #813346
Linear OOA(393, 3290, F3, 2, 17) (dual of [(3290, 2), 6487, 18]-NRT-code), using OOA 2-folding based on linear OA(393, 6580, F3, 17) (dual of [6580, 6487, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(393, 6581, F3, 17) (dual of [6581, 6488, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
- linear OA(389, 6561, F3, 17) (dual of [6561, 6472, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(373, 6561, F3, 14) (dual of [6561, 6488, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(34, 20, F3, 2) (dual of [20, 16, 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(393, 3290, F3, 3, 17) (dual of [(3290, 3), 9777, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(393, 3290, F3, 4, 17) (dual of [(3290, 4), 13067, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(393, 3290, F3, 5, 17) (dual of [(3290, 5), 16357, 18]-NRT-code) | [i] | ||
| 4 | Digital (76, 93, 3290)-net over F3 | [i] | ||