Information on Result #704643
Linear OA(3127, 728, F3, 32) (dual of [728, 601, 33]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−4,−3,…,27}, and designed minimum distance d ≥ |I|+1 = 33
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3127, 582, F3, 2, 32) (dual of [(582, 2), 1037, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3127, 582, F3, 3, 32) (dual of [(582, 3), 1619, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(3127, 582, F3, 4, 32) (dual of [(582, 4), 2201, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(3127, 582, F3, 5, 32) (dual of [(582, 5), 2783, 33]-NRT-code) | [i] | ||
| 5 | Digital (95, 127, 582)-net over F3 | [i] | ||
| 6 | Linear OA(3137, 757, F3, 33) (dual of [757, 620, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3136, 755, F3, 33) (dual of [755, 619, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(3135, 751, F3, 33) (dual of [751, 616, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(3146, 766, F3, 35) (dual of [766, 620, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(3154, 774, F3, 36) (dual of [774, 620, 37]-code) | [i] | ✔ | |