Information on Result #704409
Linear OA(396, 728, F3, 24) (dual of [728, 632, 25]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {340,341,…,363}, and designed minimum distance d ≥ |I|+1 = 25
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(396, 501, F3, 2, 24) (dual of [(501, 2), 906, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(396, 501, F3, 3, 24) (dual of [(501, 3), 1407, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(396, 501, F3, 4, 24) (dual of [(501, 4), 1908, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(396, 501, F3, 5, 24) (dual of [(501, 5), 2409, 25]-NRT-code) | [i] | ||
| 5 | Digital (72, 96, 501)-net over F3 | [i] | ||
| 6 | Linear OA(3114, 770, F3, 26) (dual of [770, 656, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3112, 764, F3, 26) (dual of [764, 652, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(3122, 774, F3, 28) (dual of [774, 652, 29]-code) | [i] | ✔ | |
| 9 | Linear OA(3132, 788, F3, 29) (dual of [788, 656, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(3130, 782, F3, 29) (dual of [782, 652, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(3124, 756, F3, 30) (dual of [756, 632, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(3135, 767, F3, 32) (dual of [767, 632, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(3133, 764, F3, 32) (dual of [764, 631, 33]-code) | [i] | ✔ | |
| 14 | Linear OA(3145, 773, F3, 33) (dual of [773, 628, 34]-code) | [i] | ✔ | |
| 15 | Linear OA(3145, 777, F3, 34) (dual of [777, 632, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(3143, 774, F3, 34) (dual of [774, 631, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(3153, 785, F3, 35) (dual of [785, 632, 36]-code) | [i] | ✔ | |
| 18 | Linear OA(3163, 791, F3, 36) (dual of [791, 628, 37]-code) | [i] | ✔ | |
| 19 | Linear OOA(396, 364, F3, 2, 24) (dual of [(364, 2), 632, 25]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(396, 182, F3, 4, 24) (dual of [(182, 4), 632, 25]-NRT-code) | [i] | ||