Information on Result #613264
Linear OA(4223, 1366, F4, 51) (dual of [1366, 1143, 52]-code), using an extension Ce(50) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51
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(4230, 1373, F4, 53) (dual of [1373, 1143, 54]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4223, 1372, F4, 51) (dual of [1372, 1149, 52]-code) | [i] | ✔ | |
| 3 | Linear OA(4238, 1381, F4, 54) (dual of [1381, 1143, 55]-code) | [i] | ✔ | |
| 4 | Linear OA(4224, 1379, F4, 51) (dual of [1379, 1155, 52]-code) | [i] | ✔ | |
| 5 | Linear OA(4245, 1383, F4, 55) (dual of [1383, 1138, 56]-code) | [i] | ✔ | |
| 6 | Linear OA(4246, 1389, F4, 55) (dual of [1389, 1143, 56]-code) | [i] | ✔ | |
| 7 | Linear OA(4227, 1383, F4, 51) (dual of [1383, 1156, 52]-code) | [i] | ✔ | |
| 8 | Linear OA(4228, 1389, F4, 51) (dual of [1389, 1161, 52]-code) | [i] | ✔ | |
| 9 | Linear OA(4245, 1384, F4, 55) (dual of [1384, 1139, 56]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(4244, 1382, F4, 55) (dual of [1382, 1138, 56]-code) | [i] | ✔ | |
| 11 | Linear OA(4237, 1375, F4, 54) (dual of [1375, 1138, 55]-code) | [i] | ✔ | |
| 12 | Linear OA(4231, 1375, F4, 53) (dual of [1375, 1144, 54]-code) | [i] | ✔ | |
| 13 | Linear OA(4227, 1384, F4, 51) (dual of [1384, 1157, 52]-code) | [i] | ✔ | |
| 14 | Linear OA(4226, 1382, F4, 51) (dual of [1382, 1156, 52]-code) | [i] | ✔ | |