Information on Result #704663
Linear OA(3118, 728, F3, 30) (dual of [728, 610, 31]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−1,0,…,28}, 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3118, 533, F3, 2, 30) (dual of [(533, 2), 948, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3118, 533, F3, 3, 30) (dual of [(533, 3), 1481, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(3118, 533, F3, 4, 30) (dual of [(533, 4), 2014, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(3118, 533, F3, 5, 30) (dual of [(533, 5), 2547, 31]-NRT-code) | [i] | ||
| 5 | Digital (88, 118, 533)-net over F3 | [i] | ||
| 6 | Linear OA(3118, 737, F3, 30) (dual of [737, 619, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3126, 743, F3, 32) (dual of [743, 617, 33]-code) | [i] | ✔ | |