Information on Result #675943
Linear OA(3186, 2200, F3, 40) (dual of [2200, 2014, 41]-code), using construction X applied to Ce(39) ⊂ Ce(36) based on
- linear OA(3183, 2187, F3, 40) (dual of [2187, 2004, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3169, 2187, F3, 37) (dual of [2187, 2018, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(3186, 1545, F3, 2, 40) (dual of [(1545, 2), 2904, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3186, 1545, F3, 3, 40) (dual of [(1545, 3), 4449, 41]-NRT-code) | [i] | ||
| 3 | Linear OOA(3186, 1545, F3, 4, 40) (dual of [(1545, 4), 5994, 41]-NRT-code) | [i] | ||
| 4 | Linear OOA(3186, 1545, F3, 5, 40) (dual of [(1545, 5), 7539, 41]-NRT-code) | [i] | ||
| 5 | Digital (146, 186, 1545)-net over F3 | [i] | ||
| 6 | Linear OOA(3186, 1100, F3, 2, 40) (dual of [(1100, 2), 2014, 41]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3186, 733, F3, 3, 40) (dual of [(733, 3), 2013, 41]-NRT-code) | [i] | ||
| 8 | Linear OOA(3186, 550, F3, 4, 40) (dual of [(550, 4), 2014, 41]-NRT-code) | [i] | ||
| 9 | Linear OOA(3186, 440, F3, 5, 40) (dual of [(440, 5), 2014, 41]-NRT-code) | [i] | ||