Information on Result #704477
Linear OA(3109, 728, F3, 28) (dual of [728, 619, 29]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {340,341,…,367}, and designed minimum distance d ≥ |I|+1 = 29
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- 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(3109, 484, F3, 2, 28) (dual of [(484, 2), 859, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3109, 484, F3, 3, 28) (dual of [(484, 3), 1343, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(3109, 484, F3, 4, 28) (dual of [(484, 4), 1827, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(3109, 484, F3, 5, 28) (dual of [(484, 5), 2311, 29]-NRT-code) | [i] | ||
| 5 | Digital (81, 109, 484)-net over F3 | [i] | ||
| 6 | Linear OA(3122, 774, F3, 28) (dual of [774, 652, 29]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3111, 742, F3, 28) (dual of [742, 631, 29]-code) | [i] | ✔ | |
| 8 | Linear OA(3145, 777, F3, 34) (dual of [777, 632, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(3143, 774, F3, 34) (dual of [774, 631, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(3130, 755, F3, 32) (dual of [755, 625, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(3141, 772, F3, 33) (dual of [772, 631, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(3142, 772, F3, 34) (dual of [772, 630, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(3139, 769, F3, 33) (dual of [769, 630, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(3154, 781, F3, 35) (dual of [781, 627, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(3141, 766, F3, 34) (dual of [766, 625, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(3139, 763, F3, 34) (dual of [763, 624, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(3151, 772, F3, 35) (dual of [772, 621, 36]-code) | [i] | ✔ | |
| 18 | Linear OOA(3109, 364, F3, 2, 28) (dual of [(364, 2), 619, 29]-NRT-code) | [i] | OOA Folding | |
| 19 | Linear OOA(3109, 182, F3, 4, 28) (dual of [(182, 4), 619, 29]-NRT-code) | [i] | ||
| 20 | Linear OOA(3109, 145, F3, 5, 28) (dual of [(145, 5), 616, 29]-NRT-code) | [i] | ||