Information on Result #613317
Linear OA(4247, 1366, F4, 57) (dual of [1366, 1119, 58]-code), using an extension Ce(56) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57
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(4246, 1365, F4, 56) (dual of [1365, 1119, 57]-code) | [i] | Truncation | |
| 2 | Linear OA(4253, 1372, F4, 58) (dual of [1372, 1119, 59]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(4248, 1373, F4, 57) (dual of [1373, 1125, 58]-code) | [i] | ✔ | |
| 4 | Linear OA(4260, 1379, F4, 59) (dual of [1379, 1119, 60]-code) | [i] | ✔ | |
| 5 | Linear OA(4248, 1379, F4, 56) (dual of [1379, 1131, 57]-code) | [i] | ✔ | |
| 6 | Linear OA(4250, 1381, F4, 57) (dual of [1381, 1131, 58]-code) | [i] | ✔ | |
| 7 | Linear OA(4251, 1383, F4, 57) (dual of [1383, 1132, 58]-code) | [i] | ✔ | |
| 8 | Linear OA(4252, 1389, F4, 57) (dual of [1389, 1137, 58]-code) | [i] | ✔ | |
| 9 | Linear OA(4250, 1387, F4, 56) (dual of [1387, 1137, 57]-code) | [i] | ✔ | |
| 10 | Linear OA(4255, 1375, F4, 58) (dual of [1375, 1120, 59]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(4249, 1375, F4, 57) (dual of [1375, 1126, 58]-code) | [i] | ✔ | |
| 12 | Linear OA(4249, 1381, F4, 56) (dual of [1381, 1132, 57]-code) | [i] | ✔ | |
| 13 | Linear OOA(4247, 683, F4, 2, 57) (dual of [(683, 2), 1119, 58]-NRT-code) | [i] | OOA Folding | |