Information on Result #708525
Linear OA(4130, 1023, F4, 34) (dual of [1023, 893, 35]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35
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
- 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(4138, 1041, F4, 36) (dual of [1041, 903, 37]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4154, 1057, F4, 39) (dual of [1057, 903, 40]-code) | [i] | ✔ | |
| 3 | Linear OA(4162, 1065, F4, 40) (dual of [1065, 903, 41]-code) | [i] | ✔ | |
| 4 | Linear OA(4143, 1036, F4, 38) (dual of [1036, 893, 39]-code) | [i] | ✔ | |
| 5 | Linear OA(4159, 1052, F4, 41) (dual of [1052, 893, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(4157, 1050, F4, 40) (dual of [1050, 893, 41]-code) | [i] | ✔ | |
| 7 | Linear OA(4158, 1050, F4, 41) (dual of [1050, 892, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(4156, 1046, F4, 40) (dual of [1046, 890, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(4167, 1060, F4, 42) (dual of [1060, 893, 43]-code) | [i] | ✔ | |
| 10 | Linear OA(4175, 1065, F4, 43) (dual of [1065, 890, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(4174, 1063, F4, 43) (dual of [1063, 889, 44]-code) | [i] | ✔ | |
| 12 | Linear OA(4181, 1070, F4, 44) (dual of [1070, 889, 45]-code) | [i] | ✔ | |
| 13 | Linear OA(4199, 1089, F4, 47) (dual of [1089, 890, 48]-code) | [i] | ✔ | |
| 14 | Linear OA(4198, 1087, F4, 47) (dual of [1087, 889, 48]-code) | [i] | ✔ | |