Information on Result #704521
Linear OA(3115, 728, F3, 29) (dual of [728, 613, 30]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {342,343,…,370}, and designed minimum distance d ≥ |I|+1 = 30
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- 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(3115, 542, F3, 2, 29) (dual of [(542, 2), 969, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3115, 542, F3, 3, 29) (dual of [(542, 3), 1511, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(3115, 542, F3, 4, 29) (dual of [(542, 4), 2053, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(3115, 542, F3, 5, 29) (dual of [(542, 5), 2595, 30]-NRT-code) | [i] | ||
| 5 | Digital (86, 115, 542)-net over F3 | [i] | ||
| 6 | Linear OA(3128, 777, F3, 29) (dual of [777, 649, 30]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3166, 799, F3, 36) (dual of [799, 633, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(3167, 799, F3, 37) (dual of [799, 632, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(3165, 797, F3, 36) (dual of [797, 632, 37]-code) | [i] | ✔ | |
| 10 | Linear OA(3164, 790, F3, 37) (dual of [790, 626, 38]-code) | [i] | ✔ | |