Information on Result #612571
Linear OA(416, 1024, F4, 5) (dual of [1024, 1008, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5
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(418, 1029, F4, 5) (dual of [1029, 1011, 6]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(421, 1029, F4, 6) (dual of [1029, 1008, 7]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(417, 1030, F4, 5) (dual of [1030, 1013, 6]-code) | [i] | ✔ | |
| 4 | Linear OA(427, 1035, F4, 7) (dual of [1035, 1008, 8]-code) | [i] | ✔ | |
| 5 | Linear OA(435, 1041, F4, 9) (dual of [1041, 1006, 10]-code) | [i] | ✔ | |
| 6 | Linear OA(436, 1044, F4, 9) (dual of [1044, 1008, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(434, 1042, F4, 8) (dual of [1042, 1008, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(442, 1046, F4, 10) (dual of [1046, 1004, 11]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(423, 1032, F4, 6) (dual of [1032, 1009, 7]-code) | [i] | ✔ | |
| 10 | Linear OA(417, 1031, F4, 5) (dual of [1031, 1014, 6]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(427, 1036, F4, 7) (dual of [1036, 1009, 8]-code) | [i] | ✔ | |
| 12 | Linear OOA(416, 512, F4, 2, 5) (dual of [(512, 2), 1008, 6]-NRT-code) | [i] | OOA Folding | |