Information on Result #680473
Linear OA(4101, 1024, F4, 27) (dual of [1024, 923, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
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(4107, 1030, F4, 29) (dual of [1030, 923, 30]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4101, 1029, F4, 27) (dual of [1029, 928, 28]-code) | [i] | ✔ | |
| 3 | Linear OA(4114, 1037, F4, 30) (dual of [1037, 923, 31]-code) | [i] | ✔ | |
| 4 | Linear OA(4120, 1041, F4, 31) (dual of [1041, 921, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(4121, 1044, F4, 31) (dual of [1044, 923, 32]-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(4108, 1051, F4, 27) (dual of [1051, 943, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(4138, 1058, F4, 34) (dual of [1058, 920, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(4139, 1062, F4, 34) (dual of [1062, 923, 35]-code) | [i] | ✔ | |
| 11 | Linear OA(4111, 1059, F4, 27) (dual of [1059, 948, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(4155, 1078, F4, 37) (dual of [1078, 923, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(4119, 1077, F4, 27) (dual of [1077, 958, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(4163, 1086, F4, 38) (dual of [1086, 923, 39]-code) | [i] | ✔ | |
| 15 | Linear OA(4174, 1097, F4, 39) (dual of [1097, 923, 40]-code) | [i] | ✔ | |
| 16 | Linear OA(4171, 1093, F4, 39) (dual of [1093, 922, 40]-code) | [i] | ✔ | |
| 17 | Linear OA(4172, 1095, F4, 39) (dual of [1095, 923, 40]-code) | [i] | ✔ | |
| 18 | Linear OA(4138, 1060, F4, 34) (dual of [1060, 922, 35]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(4137, 1058, F4, 34) (dual of [1058, 921, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(4136, 1056, F4, 34) (dual of [1056, 920, 35]-code) | [i] | ✔ | |
| 21 | Linear OA(4135, 1054, F4, 34) (dual of [1054, 919, 35]-code) | [i] | ✔ | |
| 22 | Linear OA(4130, 1051, F4, 33) (dual of [1051, 921, 34]-code) | [i] | ✔ | |
| 23 | Linear OA(4129, 1049, F4, 33) (dual of [1049, 920, 34]-code) | [i] | ✔ | |
| 24 | Linear OA(4127, 1047, F4, 32) (dual of [1047, 920, 33]-code) | [i] | ✔ | |
| 25 | Linear OA(4128, 1047, F4, 33) (dual of [1047, 919, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(4126, 1045, F4, 32) (dual of [1045, 919, 33]-code) | [i] | ✔ | |
| 27 | Linear OA(4130, 1055, F4, 32) (dual of [1055, 925, 33]-code) | [i] | ✔ | |
| 28 | Linear OA(4119, 1038, F4, 31) (dual of [1038, 919, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(4122, 1046, F4, 31) (dual of [1046, 924, 32]-code) | [i] | ✔ | |
| 30 | Linear OA(4113, 1032, F4, 30) (dual of [1032, 919, 31]-code) | [i] | ✔ | |
| 31 | Linear OA(4108, 1032, F4, 29) (dual of [1032, 924, 30]-code) | [i] | ✔ | |
| 32 | Linear OA(4107, 1046, F4, 27) (dual of [1046, 939, 28]-code) | [i] | ✔ | |
| 33 | Linear OA(4110, 1055, F4, 27) (dual of [1055, 945, 28]-code) | [i] | ✔ | |
| 34 | Linear OA(4109, 1053, F4, 27) (dual of [1053, 944, 28]-code) | [i] | ✔ | |