Information on Result #704578
Linear OA(3123, 728, F3, 31) (dual of [728, 605, 32]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {333,334,…,363}, and designed minimum distance d ≥ |I|+1 = 32
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3123, 568, F3, 2, 31) (dual of [(568, 2), 1013, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3123, 568, F3, 3, 31) (dual of [(568, 3), 1581, 32]-NRT-code) | [i] | ||
| 3 | Linear OOA(3123, 568, F3, 4, 31) (dual of [(568, 4), 2149, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(3123, 568, F3, 5, 31) (dual of [(568, 5), 2717, 32]-NRT-code) | [i] | ||
| 5 | Digital (92, 123, 568)-net over F3 | [i] | ||
| 6 | Linear OA(3145, 773, F3, 33) (dual of [773, 628, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3141, 767, F3, 33) (dual of [767, 626, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(3139, 764, F3, 33) (dual of [764, 625, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(3136, 756, F3, 33) (dual of [756, 620, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(3163, 791, F3, 36) (dual of [791, 628, 37]-code) | [i] | ✔ | |
| 11 | Linear OA(3134, 749, F3, 33) (dual of [749, 615, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(3159, 785, F3, 36) (dual of [785, 626, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(3146, 749, F3, 36) (dual of [749, 603, 37]-code) | [i] | ✔ | |
| 14 | Linear OA(3165, 770, F3, 39) (dual of [770, 605, 40]-code) | [i] | ✔ | |
| 15 | Linear OA(3163, 764, F3, 39) (dual of [764, 601, 40]-code) | [i] | ✔ | |
| 16 | Linear OA(3173, 774, F3, 41) (dual of [774, 601, 42]-code) | [i] | ✔ | |
| 17 | Linear OA(3183, 788, F3, 42) (dual of [788, 605, 43]-code) | [i] | ✔ | |
| 18 | Linear OA(3181, 782, F3, 42) (dual of [782, 601, 43]-code) | [i] | ✔ | |