Information on Result #705636
Linear OA(3175, 728, F3, 44) (dual of [728, 553, 45]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {342,343,…,385}, and designed minimum distance d ≥ |I|+1 = 45
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 BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3226, 773, F3, 55) (dual of [773, 547, 56]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3224, 771, F3, 54) (dual of [771, 547, 55]-code) | [i] | ✔ | |
| 3 | Linear OA(3235, 782, F3, 56) (dual of [782, 547, 57]-code) | [i] | ✔ | |
| 4 | Linear OA(3235, 785, F3, 56) (dual of [785, 550, 57]-code) | [i] | ✔ | |
| 5 | Linear OA(3232, 781, F3, 56) (dual of [781, 549, 57]-code) | [i] | ✔ | |
| 6 | Linear OA(3231, 779, F3, 56) (dual of [779, 548, 57]-code) | [i] | ✔ | |
| 7 | Linear OA(3230, 777, F3, 56) (dual of [777, 547, 57]-code) | [i] | ✔ | |
| 8 | Linear OA(3241, 790, F3, 57) (dual of [790, 549, 58]-code) | [i] | ✔ | |
| 9 | Linear OA(3240, 788, F3, 57) (dual of [788, 548, 58]-code) | [i] | ✔ | |
| 10 | Linear OA(3239, 786, F3, 57) (dual of [786, 547, 58]-code) | [i] | ✔ | |