Information on Result #704355
Linear OA(390, 728, F3, 22) (dual of [728, 638, 23]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {342,343,…,363}, and designed minimum distance d ≥ |I|+1 = 23
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(390, 534, F3, 2, 22) (dual of [(534, 2), 978, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(390, 534, F3, 3, 22) (dual of [(534, 3), 1512, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(390, 534, F3, 4, 22) (dual of [(534, 4), 2046, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(390, 534, F3, 5, 22) (dual of [(534, 5), 2580, 23]-NRT-code) | [i] | ||
| 5 | Digital (68, 90, 534)-net over F3 | [i] | ||
| 6 | Linear OA(3108, 770, F3, 24) (dual of [770, 662, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3106, 764, F3, 24) (dual of [764, 658, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(3116, 774, F3, 26) (dual of [774, 658, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(3101, 749, F3, 24) (dual of [749, 648, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(3124, 782, F3, 27) (dual of [782, 658, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(3113, 749, F3, 27) (dual of [749, 636, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(3129, 767, F3, 30) (dual of [767, 638, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(3127, 764, F3, 30) (dual of [764, 637, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(3140, 773, F3, 32) (dual of [773, 633, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(3139, 777, F3, 32) (dual of [777, 638, 33]-code) | [i] | ✔ | |
| 16 | Linear OA(3137, 774, F3, 32) (dual of [774, 637, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(3149, 783, F3, 33) (dual of [783, 634, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(3150, 783, F3, 34) (dual of [783, 633, 35]-code) | [i] | ✔ | |
| 19 | Linear OA(3147, 785, F3, 33) (dual of [785, 638, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(3145, 782, F3, 33) (dual of [782, 637, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(3158, 791, F3, 35) (dual of [791, 633, 36]-code) | [i] | ✔ | |