Information on Result #611632
Linear OA(343, 2188, F3, 9) (dual of [2188, 2145, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(343, 1226, F3, 2, 9) (dual of [(1226, 2), 2409, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(343, 1226, F3, 3, 9) (dual of [(1226, 3), 3635, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(343, 1226, F3, 4, 9) (dual of [(1226, 4), 4861, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(343, 1226, F3, 5, 9) (dual of [(1226, 5), 6087, 10]-NRT-code) | [i] | ||
| 5 | Digital (34, 43, 1226)-net over F3 | [i] | ||
| 6 | Linear OA(347, 2193, F3, 9) (dual of [2193, 2146, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(360, 2192, F3, 13) (dual of [2192, 2132, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(361, 2198, F3, 13) (dual of [2198, 2137, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(362, 2207, F3, 13) (dual of [2207, 2145, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(359, 2192, F3, 12) (dual of [2192, 2133, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(360, 2201, F3, 12) (dual of [2201, 2141, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(344, 2203, F3, 9) (dual of [2203, 2159, 10]-code) | [i] | ✔ | |
| 13 | Linear OA(344, 2204, F3, 9) (dual of [2204, 2160, 10]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |