Information on Result #709100
Linear OA(4201, 1023, F4, 54) (dual of [1023, 822, 55]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {289,290,…,342}, and designed minimum distance d ≥ |I|+1 = 55
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
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4215, 1066, F4, 54) (dual of [1066, 851, 55]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4214, 1064, F4, 54) (dual of [1064, 850, 55]-code) | [i] | ✔ | |
| 3 | Linear OA(4213, 1062, F4, 54) (dual of [1062, 849, 55]-code) | [i] | ✔ | |
| 4 | Linear OA(4211, 1058, F4, 54) (dual of [1058, 847, 55]-code) | [i] | ✔ | |
| 5 | Linear OA(4207, 1050, F4, 54) (dual of [1050, 843, 55]-code) | [i] | ✔ | |
| 6 | Linear OA(4204, 1041, F4, 54) (dual of [1041, 837, 55]-code) | [i] | ✔ | |
| 7 | Linear OA(4203, 1033, F4, 54) (dual of [1033, 830, 55]-code) | [i] | ✔ | |
| 8 | Linear OA(4202, 1034, F4, 54) (dual of [1034, 832, 55]-code) | [i] | ✔ | |
| 9 | Linear OA(4215, 1042, F4, 57) (dual of [1042, 827, 58]-code) | [i] | ✔ | |
| 10 | Linear OA(4249, 1089, F4, 61) (dual of [1089, 840, 62]-code) | [i] | ✔ | |
| 11 | Linear OA(4248, 1087, F4, 61) (dual of [1087, 839, 62]-code) | [i] | ✔ | |
| 12 | Linear OA(4222, 1050, F4, 58) (dual of [1050, 828, 59]-code) | [i] | ✔ | |
| 13 | Linear OA(4244, 1079, F4, 61) (dual of [1079, 835, 62]-code) | [i] | ✔ | |
| 14 | Linear OA(4243, 1077, F4, 61) (dual of [1077, 834, 62]-code) | [i] | ✔ | |
| 15 | Linear OA(4242, 1072, F4, 61) (dual of [1072, 830, 62]-code) | [i] | ✔ | |
| 16 | Linear OA(4241, 1070, F4, 61) (dual of [1070, 829, 62]-code) | [i] | ✔ | |
| 17 | Linear OA(4240, 1065, F4, 61) (dual of [1065, 825, 62]-code) | [i] | ✔ | |
| 18 | Linear OA(4239, 1063, F4, 61) (dual of [1063, 824, 62]-code) | [i] | ✔ | |
| 19 | Linear OA(4225, 1047, F4, 59) (dual of [1047, 822, 60]-code) | [i] | ✔ | |
| 20 | Linear OA(4224, 1039, F4, 59) (dual of [1039, 815, 60]-code) | [i] | ✔ | |
| 21 | Linear OA(4232, 1054, F4, 60) (dual of [1054, 822, 61]-code) | [i] | ✔ | |
| 22 | Linear OA(4231, 1051, F4, 60) (dual of [1051, 820, 61]-code) | [i] | ✔ | |
| 23 | Linear OA(4250, 1070, F4, 63) (dual of [1070, 820, 64]-code) | [i] | ✔ | |
| 24 | Linear OA(4249, 1068, F4, 63) (dual of [1068, 819, 64]-code) | [i] | ✔ | |
| 25 | Linear OA(4259, 1079, F4, 65) (dual of [1079, 820, 66]-code) | [i] | ✔ | |
| 26 | Linear OA(4258, 1077, F4, 65) (dual of [1077, 819, 66]-code) | [i] | ✔ | |