Information on Result #704959
Linear OA(3109, 728, F3, 28) (dual of [728, 619, 29]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {361,362,…,388}, and designed minimum distance d ≥ |I|+1 = 29
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3109, 484, F3, 2, 28) (dual of [(484, 2), 859, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3109, 484, F3, 3, 28) (dual of [(484, 3), 1343, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(3109, 484, F3, 4, 28) (dual of [(484, 4), 1827, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(3109, 484, F3, 5, 28) (dual of [(484, 5), 2311, 29]-NRT-code) | [i] | ||
| 5 | Digital (81, 109, 484)-net over F3 | [i] | ||
| 6 | Linear OA(3172, 790, F3, 40) (dual of [790, 618, 41]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3170, 788, F3, 39) (dual of [788, 618, 40]-code) | [i] | ✔ | |
| 8 | Linear OOA(3109, 364, F3, 2, 28) (dual of [(364, 2), 619, 29]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(3109, 182, F3, 4, 28) (dual of [(182, 4), 619, 29]-NRT-code) | [i] | ||
| 10 | Linear OOA(3109, 145, F3, 5, 28) (dual of [(145, 5), 616, 29]-NRT-code) | [i] | ||