Information on Result #704316
Linear OA(373, 728, F3, 18) (dual of [728, 655, 19]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−1,0,…,16}, and designed minimum distance d ≥ |I|+1 = 19
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(373, 463, F3, 2, 18) (dual of [(463, 2), 853, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(373, 463, F3, 3, 18) (dual of [(463, 3), 1316, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(373, 463, F3, 4, 18) (dual of [(463, 4), 1779, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(373, 463, F3, 5, 18) (dual of [(463, 5), 2242, 19]-NRT-code) | [i] | ||
| 5 | Digital (55, 73, 463)-net over F3 | [i] | ||
| 6 | Linear OA(373, 740, F3, 18) (dual of [740, 667, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(381, 743, F3, 20) (dual of [743, 662, 21]-code) | [i] | ✔ | |