Information on Result #612889
Linear OA(486, 1024, F4, 23) (dual of [1024, 938, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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(4101, 1054, F4, 23) (dual of [1054, 953, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(492, 1030, F4, 25) (dual of [1030, 938, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(486, 1029, F4, 23) (dual of [1029, 943, 24]-code) | [i] | ✔ | |
| 4 | Linear OA(499, 1037, F4, 26) (dual of [1037, 938, 27]-code) | [i] | ✔ | |
| 5 | Linear OA(487, 1035, F4, 23) (dual of [1035, 948, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(4105, 1041, F4, 27) (dual of [1041, 936, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(4106, 1044, F4, 27) (dual of [1044, 938, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(490, 1041, F4, 23) (dual of [1041, 951, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(491, 1044, F4, 23) (dual of [1044, 953, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(4116, 1054, F4, 29) (dual of [1054, 938, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(4113, 1051, F4, 28) (dual of [1051, 938, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(493, 1051, F4, 23) (dual of [1051, 958, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(4123, 1058, F4, 30) (dual of [1058, 935, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(4124, 1062, F4, 30) (dual of [1062, 938, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(496, 1059, F4, 23) (dual of [1059, 963, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(4131, 1067, F4, 31) (dual of [1067, 936, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(4132, 1070, F4, 31) (dual of [1070, 938, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(4101, 1067, F4, 23) (dual of [1067, 966, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(4102, 1070, F4, 23) (dual of [1070, 968, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(4140, 1078, F4, 33) (dual of [1078, 938, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(4148, 1086, F4, 34) (dual of [1086, 938, 35]-code) | [i] | ✔ | |
| 22 | Linear OA(4156, 1093, F4, 35) (dual of [1093, 937, 36]-code) | [i] | ✔ | |
| 23 | Linear OA(4123, 1060, F4, 30) (dual of [1060, 937, 31]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 24 | Linear OA(4122, 1058, F4, 30) (dual of [1058, 936, 31]-code) | [i] | ✔ | |
| 25 | Linear OA(4121, 1056, F4, 30) (dual of [1056, 935, 31]-code) | [i] | ✔ | |
| 26 | Linear OA(4120, 1054, F4, 30) (dual of [1054, 934, 31]-code) | [i] | ✔ | |
| 27 | Linear OA(4115, 1051, F4, 29) (dual of [1051, 936, 30]-code) | [i] | ✔ | |
| 28 | Linear OA(4114, 1049, F4, 29) (dual of [1049, 935, 30]-code) | [i] | ✔ | |
| 29 | Linear OA(4112, 1047, F4, 28) (dual of [1047, 935, 29]-code) | [i] | ✔ | |
| 30 | Linear OA(4113, 1047, F4, 29) (dual of [1047, 934, 30]-code) | [i] | ✔ | |
| 31 | Linear OA(4111, 1045, F4, 28) (dual of [1045, 934, 29]-code) | [i] | ✔ | |
| 32 | Linear OA(4115, 1055, F4, 28) (dual of [1055, 940, 29]-code) | [i] | ✔ | |
| 33 | Linear OA(4117, 1056, F4, 29) (dual of [1056, 939, 30]-code) | [i] | ✔ | |
| 34 | Linear OA(4114, 1053, F4, 28) (dual of [1053, 939, 29]-code) | [i] | ✔ | |
| 35 | Linear OA(4107, 1046, F4, 27) (dual of [1046, 939, 28]-code) | [i] | ✔ | |
| 36 | Linear OA(498, 1032, F4, 26) (dual of [1032, 934, 27]-code) | [i] | ✔ | |
| 37 | Linear OA(493, 1032, F4, 25) (dual of [1032, 939, 26]-code) | [i] | ✔ | |
| 38 | Linear OA(489, 1038, F4, 23) (dual of [1038, 949, 24]-code) | [i] | ✔ | |
| 39 | Linear OA(492, 1046, F4, 23) (dual of [1046, 954, 24]-code) | [i] | ✔ | |
| 40 | Linear OA(495, 1055, F4, 23) (dual of [1055, 960, 24]-code) | [i] | ✔ | |
| 41 | Linear OA(494, 1053, F4, 23) (dual of [1053, 959, 24]-code) | [i] | ✔ | |