Information on Result #704058
Linear OA(378, 728, F3, 19) (dual of [728, 650, 20]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20
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(378, 505, F3, 2, 19) (dual of [(505, 2), 932, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(378, 505, F3, 3, 19) (dual of [(505, 3), 1437, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(378, 505, F3, 4, 19) (dual of [(505, 4), 1942, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(378, 505, F3, 5, 19) (dual of [(505, 5), 2447, 20]-NRT-code) | [i] | ||
| 5 | Digital (59, 78, 505)-net over F3 | [i] | ||
| 6 | Linear OA(3124, 772, F3, 27) (dual of [772, 648, 28]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(3110, 778, F3, 24) (dual of [778, 668, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OA(396, 752, F3, 23) (dual of [752, 656, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(3104, 760, F3, 24) (dual of [760, 656, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(3117, 771, F3, 26) (dual of [771, 654, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(393, 743, F3, 23) (dual of [743, 650, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(3103, 753, F3, 25) (dual of [753, 650, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(3101, 748, F3, 24) (dual of [748, 647, 25]-code) | [i] | ✔ | |
| 14 | Linear OA(3120, 769, F3, 27) (dual of [769, 649, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(3124, 772, F3, 28) (dual of [772, 648, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(3118, 763, F3, 27) (dual of [763, 645, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(3138, 787, F3, 30) (dual of [787, 649, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(3136, 781, F3, 30) (dual of [781, 645, 31]-code) | [i] | ✔ | |