Information on Result #613217
Linear OA(4199, 1366, F4, 46) (dual of [1366, 1167, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46
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(4205, 1372, F4, 47) (dual of [1372, 1167, 48]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4199, 1372, F4, 46) (dual of [1372, 1173, 47]-code) | [i] | ✔ | |
| 3 | Linear OA(4212, 1379, F4, 48) (dual of [1379, 1167, 49]-code) | [i] | ✔ | |
| 4 | Linear OA(4214, 1381, F4, 49) (dual of [1381, 1167, 50]-code) | [i] | ✔ | |
| 5 | Linear OA(4203, 1382, F4, 46) (dual of [1382, 1179, 47]-code) | [i] | ✔ | |
| 6 | Linear OA(4221, 1383, F4, 50) (dual of [1383, 1162, 51]-code) | [i] | ✔ | |
| 7 | Linear OA(4222, 1389, F4, 50) (dual of [1389, 1167, 51]-code) | [i] | ✔ | |
| 8 | Linear OA(4213, 1375, F4, 49) (dual of [1375, 1162, 50]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(4213, 1381, F4, 48) (dual of [1381, 1168, 49]-code) | [i] | ✔ | |
| 10 | Linear OA(4202, 1376, F4, 46) (dual of [1376, 1174, 47]-code) | [i] | ✔ | |
| 11 | Linear OA(4204, 1384, F4, 46) (dual of [1384, 1180, 47]-code) | [i] | ✔ | |