Information on Result #704603
Linear OA(3133, 728, F3, 33) (dual of [728, 595, 34]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,371}, 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3133, 641, F3, 2, 33) (dual of [(641, 2), 1149, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3133, 641, F3, 3, 33) (dual of [(641, 3), 1790, 34]-NRT-code) | [i] | ||
| 3 | Linear OOA(3133, 641, F3, 4, 33) (dual of [(641, 4), 2431, 34]-NRT-code) | [i] | ||
| 4 | Linear OOA(3133, 641, F3, 5, 33) (dual of [(641, 5), 3072, 34]-NRT-code) | [i] | ||
| 5 | Digital (100, 133, 641)-net over F3 | [i] | ||
| 6 | Linear OA(3149, 786, F3, 33) (dual of [786, 637, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3147, 780, F3, 33) (dual of [780, 633, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(3185, 799, F3, 41) (dual of [799, 614, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(3181, 789, F3, 41) (dual of [789, 608, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(3179, 781, F3, 41) (dual of [781, 602, 42]-code) | [i] | ✔ | |
| 11 | Linear OA(3191, 781, F3, 44) (dual of [781, 590, 45]-code) | [i] | ✔ | |
| 12 | Linear OA(3200, 790, F3, 46) (dual of [790, 590, 47]-code) | [i] | ✔ | |
| 13 | Linear OA(3209, 799, F3, 47) (dual of [799, 590, 48]-code) | [i] | ✔ | |