Information on Result #704637
Linear OA(3130, 728, F3, 33) (dual of [728, 598, 34]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−4,−3,…,28}, and designed minimum distance d ≥ |I|+1 = 34
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(3130, 574, F3, 2, 33) (dual of [(574, 2), 1018, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3130, 574, F3, 3, 33) (dual of [(574, 3), 1592, 34]-NRT-code) | [i] | ||
| 3 | Linear OOA(3130, 574, F3, 4, 33) (dual of [(574, 4), 2166, 34]-NRT-code) | [i] | ||
| 4 | Linear OOA(3130, 574, F3, 5, 33) (dual of [(574, 5), 2740, 34]-NRT-code) | [i] | ||
| 5 | Digital (97, 130, 574)-net over F3 | [i] | ||
| 6 | Linear OA(3142, 774, F3, 33) (dual of [774, 632, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3140, 766, F3, 33) (dual of [766, 626, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(3137, 757, F3, 33) (dual of [757, 620, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(3136, 755, F3, 33) (dual of [755, 619, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(3135, 751, F3, 33) (dual of [751, 616, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(3142, 755, F3, 35) (dual of [755, 613, 36]-code) | [i] | ✔ | |