Information on Result #704632
Linear OA(3124, 728, F3, 32) (dual of [728, 604, 33]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−3,−2,…,28}, 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 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(3124, 519, F3, 2, 32) (dual of [(519, 2), 914, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3124, 519, F3, 3, 32) (dual of [(519, 3), 1433, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(3124, 519, F3, 4, 32) (dual of [(519, 4), 1952, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(3124, 519, F3, 5, 32) (dual of [(519, 5), 2471, 33]-NRT-code) | [i] | ||
| 5 | Digital (92, 124, 519)-net over F3 | [i] | ||
| 6 | Linear OA(3134, 766, F3, 32) (dual of [766, 632, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3128, 747, F3, 32) (dual of [747, 619, 33]-code) | [i] | ✔ | |
| 8 | Linear OA(3127, 744, F3, 32) (dual of [744, 617, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(3136, 753, F3, 34) (dual of [753, 617, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(3134, 748, F3, 33) (dual of [748, 614, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(3135, 751, F3, 34) (dual of [751, 616, 35]-code) | [i] | ✔ | |
| 12 | Linear OA(3132, 748, F3, 33) (dual of [748, 616, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(3134, 748, F3, 34) (dual of [748, 614, 35]-code) | [i] | ✔ | |