Information on Result #611879
Linear OA(399, 2188, F3, 21) (dual of [2188, 2089, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound)
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(399, 1129, F3, 2, 21) (dual of [(1129, 2), 2159, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(399, 1129, F3, 3, 21) (dual of [(1129, 3), 3288, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(399, 1129, F3, 4, 21) (dual of [(1129, 4), 4417, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(399, 1129, F3, 5, 21) (dual of [(1129, 5), 5546, 22]-NRT-code) | [i] | ||
| 5 | Digital (78, 99, 1129)-net over F3 | [i] | ||
| 6 | Linear OA(3109, 2199, F3, 21) (dual of [2199, 2090, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(3114, 2203, F3, 23) (dual of [2203, 2089, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(3116, 2192, F3, 25) (dual of [2192, 2076, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(3117, 2198, F3, 25) (dual of [2198, 2081, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(3118, 2207, F3, 25) (dual of [2207, 2089, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(3115, 2192, F3, 24) (dual of [2192, 2077, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(3116, 2201, F3, 24) (dual of [2201, 2085, 25]-code) | [i] | ✔ | |
| 13 | Linear OA(3100, 2203, F3, 21) (dual of [2203, 2103, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(3135, 2216, F3, 27) (dual of [2216, 2081, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(3137, 2224, F3, 27) (dual of [2224, 2087, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(3138, 2227, F3, 27) (dual of [2227, 2089, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(3135, 2224, F3, 26) (dual of [2224, 2089, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(3107, 2216, F3, 21) (dual of [2216, 2109, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(3109, 2224, F3, 21) (dual of [2224, 2115, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(3110, 2227, F3, 21) (dual of [2227, 2117, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(3137, 2226, F3, 27) (dual of [2226, 2089, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(3109, 2226, F3, 21) (dual of [2226, 2117, 22]-code) | [i] | ✔ | |