Information on Result #705003
Linear OA(3139, 728, F3, 35) (dual of [728, 589, 36]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,373}, and designed minimum distance d ≥ |I|+1 = 36
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(3139, 623, F3, 2, 35) (dual of [(623, 2), 1107, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3139, 623, F3, 3, 35) (dual of [(623, 3), 1730, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(3139, 623, F3, 4, 35) (dual of [(623, 4), 2353, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(3139, 623, F3, 5, 35) (dual of [(623, 5), 2976, 36]-NRT-code) | [i] | ||
| 5 | Digital (104, 139, 623)-net over F3 | [i] | ||
| 6 | Linear OA(3188, 790, F3, 43) (dual of [790, 602, 44]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3185, 781, F3, 43) (dual of [781, 596, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(3182, 778, F3, 42) (dual of [778, 596, 43]-code) | [i] | ✔ | |
| 9 | Linear OA(3197, 781, F3, 46) (dual of [781, 584, 47]-code) | [i] | ✔ | |
| 10 | Linear OA(3194, 778, F3, 45) (dual of [778, 584, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(3205, 789, F3, 47) (dual of [789, 584, 48]-code) | [i] | ✔ | |
| 12 | Linear OA(3215, 799, F3, 49) (dual of [799, 584, 50]-code) | [i] | ✔ | |
| 13 | Linear OA(3213, 797, F3, 48) (dual of [797, 584, 49]-code) | [i] | ✔ | |