Information on Result #704509
Linear OA(396, 728, F3, 24) (dual of [728, 632, 25]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25
Mode: Constructive and linear.
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]
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(3105, 743, F3, 26) (dual of [743, 638, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3115, 759, F3, 27) (dual of [759, 644, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(3138, 787, F3, 30) (dual of [787, 649, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(3136, 781, F3, 30) (dual of [781, 645, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(3115, 753, F3, 28) (dual of [753, 638, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(3113, 748, F3, 27) (dual of [748, 635, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(3134, 766, F3, 32) (dual of [766, 632, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(3142, 774, F3, 33) (dual of [774, 632, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(3155, 785, F3, 35) (dual of [785, 630, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(3154, 780, F3, 35) (dual of [780, 626, 36]-code) | [i] | ✔ | |
| 16 | Linear OA(3162, 793, F3, 36) (dual of [793, 631, 37]-code) | [i] | ✔ | |
| 17 | Linear OA(3166, 796, F3, 37) (dual of [796, 630, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(3160, 787, F3, 36) (dual of [787, 627, 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] | ||