Information on Result #2234615
Linear OA(3182, 2186, F3, 39) (dual of [2186, 2004, 40]-code), using 1 times truncation 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]
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(3182, 1547, F3, 2, 39) (dual of [(1547, 2), 2912, 40]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3182, 1547, F3, 3, 39) (dual of [(1547, 3), 4459, 40]-NRT-code) | [i] | ||
| 3 | Linear OOA(3182, 1547, F3, 4, 39) (dual of [(1547, 4), 6006, 40]-NRT-code) | [i] | ||
| 4 | Linear OOA(3182, 1547, F3, 5, 39) (dual of [(1547, 5), 7553, 40]-NRT-code) | [i] | ||
| 5 | Digital (143, 182, 1547)-net over F3 | [i] | ||
| 6 | Linear OA(3193, 2231, F3, 39) (dual of [2231, 2038, 40]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(3194, 2248, F3, 39) (dual of [2248, 2054, 40]-code) | [i] | ||
| 8 | Linear OA(3195, 2269, F3, 39) (dual of [2269, 2074, 40]-code) | [i] | ||
| 9 | Linear OA(3196, 2296, F3, 39) (dual of [2296, 2100, 40]-code) | [i] | ||
| 10 | Linear OA(3197, 2330, F3, 39) (dual of [2330, 2133, 40]-code) | [i] | ||
| 11 | Linear OA(3198, 2372, F3, 39) (dual of [2372, 2174, 40]-code) | [i] | ||
| 12 | Linear OA(3199, 2421, F3, 39) (dual of [2421, 2222, 40]-code) | [i] | ||
| 13 | Linear OA(3200, 2477, F3, 39) (dual of [2477, 2277, 40]-code) | [i] | ||
| 14 | Linear OA(3201, 2540, F3, 39) (dual of [2540, 2339, 40]-code) | [i] | ||
| 15 | Linear OA(3202, 2608, F3, 39) (dual of [2608, 2406, 40]-code) | [i] | ||
| 16 | Linear OA(3203, 2681, F3, 39) (dual of [2681, 2478, 40]-code) | [i] | ||
| 17 | Linear OA(3204, 2757, F3, 39) (dual of [2757, 2553, 40]-code) | [i] | ||
| 18 | Linear OA(3205, 2836, F3, 39) (dual of [2836, 2631, 40]-code) | [i] | ||
| 19 | Linear OOA(3182, 1093, F3, 2, 39) (dual of [(1093, 2), 2004, 40]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(3182, 728, F3, 3, 39) (dual of [(728, 3), 2002, 40]-NRT-code) | [i] | ||
| 21 | Linear OOA(3182, 546, F3, 4, 39) (dual of [(546, 4), 2002, 40]-NRT-code) | [i] | ||
| 22 | Linear OOA(3182, 437, F3, 5, 39) (dual of [(437, 5), 2003, 40]-NRT-code) | [i] | ||