Information on Result #613288
Linear OA(4235, 1366, F4, 54) (dual of [1366, 1131, 55]-code), using an extension Ce(53) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54
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(4241, 1372, F4, 55) (dual of [1372, 1131, 56]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4235, 1372, F4, 54) (dual of [1372, 1137, 55]-code) | [i] | ✔ | |
| 3 | Linear OA(4248, 1379, F4, 56) (dual of [1379, 1131, 57]-code) | [i] | ✔ | |
| 4 | Linear OA(4250, 1381, F4, 57) (dual of [1381, 1131, 58]-code) | [i] | ✔ | |
| 5 | Linear OA(4238, 1381, F4, 54) (dual of [1381, 1143, 55]-code) | [i] | ✔ | |
| 6 | Linear OA(4257, 1383, F4, 58) (dual of [1383, 1126, 59]-code) | [i] | ✔ | |
| 7 | Linear OA(4239, 1383, F4, 54) (dual of [1383, 1144, 55]-code) | [i] | ✔ | |
| 8 | Linear OA(4240, 1389, F4, 54) (dual of [1389, 1149, 55]-code) | [i] | ✔ | |
| 9 | Linear OA(4249, 1375, F4, 57) (dual of [1375, 1126, 58]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(4249, 1381, F4, 56) (dual of [1381, 1132, 57]-code) | [i] | ✔ | |
| 11 | Linear OA(4237, 1375, F4, 54) (dual of [1375, 1138, 55]-code) | [i] | ✔ | |