Information on Result #704079
Linear OA(3183, 728, F3, 46) (dual of [728, 545, 47]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47
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 OA(3229, 772, F3, 54) (dual of [772, 543, 55]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(3231, 794, F3, 53) (dual of [794, 563, 54]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(3215, 778, F3, 51) (dual of [778, 563, 52]-code) | [i] | ✔ | |
| 4 | Linear OA(3228, 789, F3, 53) (dual of [789, 561, 54]-code) | [i] | ✔ | |
| 5 | Linear OA(3227, 784, F3, 53) (dual of [784, 557, 54]-code) | [i] | ✔ | |
| 6 | Linear OA(3201, 752, F3, 50) (dual of [752, 551, 51]-code) | [i] | ✔ | |
| 7 | Linear OA(3209, 760, F3, 51) (dual of [760, 551, 52]-code) | [i] | ✔ | |
| 8 | Linear OA(3222, 771, F3, 53) (dual of [771, 549, 54]-code) | [i] | ✔ | |
| 9 | Linear OA(3198, 743, F3, 50) (dual of [743, 545, 51]-code) | [i] | ✔ | |
| 10 | Linear OA(3208, 753, F3, 52) (dual of [753, 545, 53]-code) | [i] | ✔ | |
| 11 | Linear OA(3206, 748, F3, 51) (dual of [748, 542, 52]-code) | [i] | ✔ | |
| 12 | Linear OA(3225, 769, F3, 54) (dual of [769, 544, 55]-code) | [i] | ✔ | |
| 13 | Linear OA(3229, 772, F3, 55) (dual of [772, 543, 56]-code) | [i] | ✔ | |
| 14 | Linear OA(3223, 763, F3, 54) (dual of [763, 540, 55]-code) | [i] | ✔ | |