Information on Result #709230
Linear OA(4190, 1023, F4, 50) (dual of [1023, 833, 51]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51
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(4198, 1041, F4, 52) (dual of [1041, 843, 53]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4214, 1057, F4, 55) (dual of [1057, 843, 56]-code) | [i] | ✔ | |
| 3 | Linear OA(4222, 1065, F4, 56) (dual of [1065, 843, 57]-code) | [i] | ✔ | |
| 4 | Linear OA(4203, 1036, F4, 54) (dual of [1036, 833, 55]-code) | [i] | ✔ | |
| 5 | Linear OA(4219, 1052, F4, 57) (dual of [1052, 833, 58]-code) | [i] | ✔ | |
| 6 | Linear OA(4217, 1050, F4, 56) (dual of [1050, 833, 57]-code) | [i] | ✔ | |
| 7 | Linear OA(4218, 1050, F4, 57) (dual of [1050, 832, 58]-code) | [i] | ✔ | |
| 8 | Linear OA(4216, 1046, F4, 56) (dual of [1046, 830, 57]-code) | [i] | ✔ | |
| 9 | Linear OA(4227, 1060, F4, 58) (dual of [1060, 833, 59]-code) | [i] | ✔ | |
| 10 | Linear OA(4235, 1065, F4, 59) (dual of [1065, 830, 60]-code) | [i] | ✔ | |
| 11 | Linear OA(4234, 1063, F4, 59) (dual of [1063, 829, 60]-code) | [i] | ✔ | |
| 12 | Linear OA(4241, 1070, F4, 60) (dual of [1070, 829, 61]-code) | [i] | ✔ | |
| 13 | Linear OA(4259, 1089, F4, 63) (dual of [1089, 830, 64]-code) | [i] | ✔ | |
| 14 | Linear OA(4258, 1087, F4, 63) (dual of [1087, 829, 64]-code) | [i] | ✔ | |