Information on Result #813905
Linear OOA(3116, 3287, F3, 2, 22) (dual of [(3287, 2), 6458, 23]-NRT-code), using OOA 2-folding based on linear OA(3116, 6574, F3, 22) (dual of [6574, 6458, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- linear OA(3113, 6561, F3, 22) (dual of [6561, 6448, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(397, 6561, F3, 19) (dual of [6561, 6464, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
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(3116, 2872, F3, 3, 22) (dual of [(2872, 3), 8500, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3116, 2872, F3, 4, 22) (dual of [(2872, 4), 11372, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(3116, 2872, F3, 5, 22) (dual of [(2872, 5), 14244, 23]-NRT-code) | [i] | ||
| 4 | Digital (94, 116, 2872)-net over F3 | [i] | ||