Information on Result #2234833
Linear OA(3196, 2187, F3, 42) (dual of [2187, 1991, 43]-code), using 1 times truncation based on linear OA(3197, 2188, F3, 43) (dual of [2188, 1991, 44]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [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(3196, 1633, F3, 2, 42) (dual of [(1633, 2), 3070, 43]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3196, 1633, F3, 3, 42) (dual of [(1633, 3), 4703, 43]-NRT-code) | [i] | ||
| 3 | Linear OOA(3196, 1633, F3, 4, 42) (dual of [(1633, 4), 6336, 43]-NRT-code) | [i] | ||
| 4 | Linear OOA(3196, 1633, F3, 5, 42) (dual of [(1633, 5), 7969, 43]-NRT-code) | [i] | ||
| 5 | Digital (154, 196, 1633)-net over F3 | [i] | ||
| 6 | Linear OA(3207, 2237, F3, 42) (dual of [2237, 2030, 43]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(3208, 2256, F3, 42) (dual of [2256, 2048, 43]-code) | [i] | ||
| 8 | Linear OA(3209, 2281, F3, 42) (dual of [2281, 2072, 43]-code) | [i] | ||
| 9 | Linear OA(3210, 2314, F3, 42) (dual of [2314, 2104, 43]-code) | [i] | ||
| 10 | Linear OA(3211, 2355, F3, 42) (dual of [2355, 2144, 43]-code) | [i] | ||
| 11 | Linear OA(3212, 2404, F3, 42) (dual of [2404, 2192, 43]-code) | [i] | ||
| 12 | Linear OA(3213, 2460, F3, 42) (dual of [2460, 2247, 43]-code) | [i] | ||
| 13 | Linear OA(3214, 2521, F3, 42) (dual of [2521, 2307, 43]-code) | [i] | ||
| 14 | Linear OA(3215, 2586, F3, 42) (dual of [2586, 2371, 43]-code) | [i] | ||
| 15 | Linear OA(3216, 2655, F3, 42) (dual of [2655, 2439, 43]-code) | [i] | ||
| 16 | Linear OA(3217, 2726, F3, 42) (dual of [2726, 2509, 43]-code) | [i] | ||
| 17 | Linear OOA(3196, 1093, F3, 2, 42) (dual of [(1093, 2), 1990, 43]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(3196, 729, F3, 3, 42) (dual of [(729, 3), 1991, 43]-NRT-code) | [i] | ||
| 19 | Linear OOA(3196, 546, F3, 4, 42) (dual of [(546, 4), 1988, 43]-NRT-code) | [i] | ||
| 20 | Linear OOA(3196, 437, F3, 5, 42) (dual of [(437, 5), 1989, 43]-NRT-code) | [i] | ||