Information on Result #613549
Linear OA(522, 78125, F5, 4) (dual of [78125, 78103, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(524, 78131, F5, 4) (dual of [78131, 78107, 5]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(530, 78133, F5, 6) (dual of [78133, 78103, 7]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(522, 78132, F5, 4) (dual of [78132, 78110, 5]-code) | [i] | ✔ | |
| 4 | Linear OA(539, 78142, F5, 7) (dual of [78142, 78103, 8]-code) | [i] | ✔ | |
| 5 | Linear OA(523, 78140, F5, 4) (dual of [78140, 78117, 5]-code) | [i] | ✔ | |
| 6 | Linear OA(547, 78150, F5, 8) (dual of [78150, 78103, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(556, 78155, F5, 9) (dual of [78155, 78099, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(556, 78154, F5, 9) (dual of [78154, 78098, 10]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(555, 78152, F5, 9) (dual of [78152, 78097, 10]-code) | [i] | ✔ | |
| 10 | Linear OA(548, 78152, F5, 8) (dual of [78152, 78104, 9]-code) | [i] | ✔ | |
| 11 | Linear OA(530, 78134, F5, 6) (dual of [78134, 78104, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(523, 78134, F5, 4) (dual of [78134, 78111, 5]-code) | [i] | ✔ | |
| 13 | Linear OA(523, 78141, F5, 4) (dual of [78141, 78118, 5]-code) | [i] | ✔ | |