Information on Result #612656
Linear OA(436, 1024, F4, 10) (dual of [1024, 988, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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(441, 1030, F4, 10) (dual of [1030, 989, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(442, 1036, F4, 10) (dual of [1036, 994, 11]-code) | [i] | ||
| 3 | Linear OA(441, 1029, F4, 11) (dual of [1029, 988, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(436, 1029, F4, 10) (dual of [1029, 993, 11]-code) | [i] | ✔ | |
| 5 | Linear OA(447, 1035, F4, 12) (dual of [1035, 988, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(449, 1037, F4, 13) (dual of [1037, 988, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(439, 1037, F4, 10) (dual of [1037, 998, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(455, 1041, F4, 14) (dual of [1041, 986, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(456, 1044, F4, 14) (dual of [1044, 988, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(440, 1041, F4, 10) (dual of [1041, 1001, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(441, 1044, F4, 10) (dual of [1044, 1003, 11]-code) | [i] | ✔ | |
| 12 | Linear OA(463, 1051, F4, 15) (dual of [1051, 988, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(471, 1059, F4, 16) (dual of [1059, 988, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(470, 1055, F4, 16) (dual of [1055, 985, 17]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(462, 1046, F4, 15) (dual of [1046, 984, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(465, 1055, F4, 15) (dual of [1055, 990, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(464, 1053, F4, 15) (dual of [1053, 989, 16]-code) | [i] | ✔ | |
| 18 | Linear OA(457, 1046, F4, 14) (dual of [1046, 989, 15]-code) | [i] | ✔ | |
| 19 | Linear OA(448, 1032, F4, 13) (dual of [1032, 984, 14]-code) | [i] | ✔ | |
| 20 | Linear OA(448, 1037, F4, 12) (dual of [1037, 989, 13]-code) | [i] | ✔ | |
| 21 | Linear OA(438, 1032, F4, 10) (dual of [1032, 994, 11]-code) | [i] | ✔ | |
| 22 | Linear OA(442, 1046, F4, 10) (dual of [1046, 1004, 11]-code) | [i] | ✔ | |
| 23 | Linear OA(452, 1041, F4, 12) (dual of [1041, 989, 13]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |