Information on Result #675559
Linear OA(3220, 6602, F3, 40) (dual of [6602, 6382, 41]-code), using construction X applied to Ce(39) ⊂ Ce(33) based on
- linear OA(3209, 6561, F3, 40) (dual of [6561, 6352, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3177, 6561, F3, 34) (dual of [6561, 6384, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(311, 41, F3, 5) (dual of [41, 30, 6]-code), using
- (u, u+v)-construction [i] based on
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- (u, u+v)-construction [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(3220, 4186, F3, 2, 40) (dual of [(4186, 2), 8152, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3220, 4186, F3, 3, 40) (dual of [(4186, 3), 12338, 41]-NRT-code) | [i] | ||
| 3 | Linear OOA(3220, 4186, F3, 4, 40) (dual of [(4186, 4), 16524, 41]-NRT-code) | [i] | ||
| 4 | Linear OOA(3220, 4186, F3, 5, 40) (dual of [(4186, 5), 20710, 41]-NRT-code) | [i] | ||
| 5 | Digital (180, 220, 4186)-net over F3 | [i] | ||