Information on Result #613325
Linear OA(4253, 1366, F4, 58) (dual of [1366, 1113, 59]-code), using an extension Ce(57) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58
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(4259, 1372, F4, 59) (dual of [1372, 1113, 60]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4253, 1372, F4, 58) (dual of [1372, 1119, 59]-code) | [i] | ✔ | |
| 3 | Linear OA(4256, 1381, F4, 58) (dual of [1381, 1125, 59]-code) | [i] | ✔ | |
| 4 | Linear OA(4257, 1383, F4, 58) (dual of [1383, 1126, 59]-code) | [i] | ✔ | |
| 5 | Linear OA(4255, 1375, F4, 58) (dual of [1375, 1120, 59]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |