Information on Result #704762
Linear OA(3121, 728, F3, 30) (dual of [728, 607, 31]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {357,358,…,386}, and designed minimum distance d ≥ |I|+1 = 31
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3121, 602, F3, 2, 30) (dual of [(602, 2), 1083, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3121, 602, F3, 3, 30) (dual of [(602, 3), 1685, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(3121, 602, F3, 4, 30) (dual of [(602, 4), 2287, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(3121, 602, F3, 5, 30) (dual of [(602, 5), 2889, 31]-NRT-code) | [i] | ||
| 5 | Digital (91, 121, 602)-net over F3 | [i] | ||
| 6 | Linear OA(3160, 790, F3, 36) (dual of [790, 630, 37]-code) | [i] | ✔ | Construction XX with Cyclic Codes |