Information on Result #680492
Linear OA(431, 1024, F4, 9) (dual of [1024, 993, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(436, 1029, F4, 10) (dual of [1029, 993, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(432, 1030, F4, 9) (dual of [1030, 998, 10]-code) | [i] | ✔ | |
| 3 | Linear OA(432, 1035, F4, 8) (dual of [1035, 1003, 9]-code) | [i] | ✔ | |
| 4 | Linear OA(434, 1037, F4, 9) (dual of [1037, 1003, 10]-code) | [i] | ✔ | |
| 5 | Linear OA(450, 1041, F4, 13) (dual of [1041, 991, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(451, 1044, F4, 13) (dual of [1044, 993, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(449, 1042, F4, 12) (dual of [1042, 993, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(435, 1041, F4, 9) (dual of [1041, 1006, 10]-code) | [i] | ✔ | |
| 9 | Linear OA(436, 1044, F4, 9) (dual of [1044, 1008, 10]-code) | [i] | ✔ | |
| 10 | Linear OA(434, 1042, F4, 8) (dual of [1042, 1008, 9]-code) | [i] | ✔ | |
| 11 | Linear OA(458, 1051, F4, 14) (dual of [1051, 993, 15]-code) | [i] | ✔ | |
| 12 | Linear OA(466, 1059, F4, 15) (dual of [1059, 993, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(465, 1055, F4, 15) (dual of [1055, 990, 16]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(464, 1053, F4, 15) (dual of [1053, 989, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(457, 1046, F4, 14) (dual of [1046, 989, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(460, 1054, F4, 14) (dual of [1054, 994, 15]-code) | [i] | ✔ | |
| 17 | Linear OA(448, 1037, F4, 12) (dual of [1037, 989, 13]-code) | [i] | ✔ | |
| 18 | Linear OA(454, 1049, F4, 13) (dual of [1049, 995, 14]-code) | [i] | ✔ | |
| 19 | Linear OA(452, 1047, F4, 12) (dual of [1047, 995, 13]-code) | [i] | ✔ | |
| 20 | Linear OA(453, 1047, F4, 13) (dual of [1047, 994, 14]-code) | [i] | ✔ | |
| 21 | Linear OA(451, 1045, F4, 12) (dual of [1045, 994, 13]-code) | [i] | ✔ | |
| 22 | Linear OA(438, 1032, F4, 10) (dual of [1032, 994, 11]-code) | [i] | ✔ | |
| 23 | Linear OA(433, 1032, F4, 9) (dual of [1032, 999, 10]-code) | [i] | ✔ | |
| 24 | Linear OA(432, 1036, F4, 8) (dual of [1036, 1004, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 25 | Linear OOA(431, 512, F4, 2, 9) (dual of [(512, 2), 993, 10]-NRT-code) | [i] | OOA Folding | |