Information on Result #708701
Linear OA(4145, 1023, F4, 38) (dual of [1023, 878, 39]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39
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(4153, 1041, F4, 40) (dual of [1041, 888, 41]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4169, 1057, F4, 43) (dual of [1057, 888, 44]-code) | [i] | ✔ | |
| 3 | Linear OA(4177, 1065, F4, 44) (dual of [1065, 888, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(4158, 1036, F4, 42) (dual of [1036, 878, 43]-code) | [i] | ✔ | |
| 5 | Linear OA(4174, 1052, F4, 45) (dual of [1052, 878, 46]-code) | [i] | ✔ | |
| 6 | Linear OA(4172, 1050, F4, 44) (dual of [1050, 878, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(4173, 1050, F4, 45) (dual of [1050, 877, 46]-code) | [i] | ✔ | |
| 8 | Linear OA(4171, 1046, F4, 44) (dual of [1046, 875, 45]-code) | [i] | ✔ | |
| 9 | Linear OA(4182, 1060, F4, 46) (dual of [1060, 878, 47]-code) | [i] | ✔ | |
| 10 | Linear OA(4190, 1065, F4, 47) (dual of [1065, 875, 48]-code) | [i] | ✔ | |
| 11 | Linear OA(4189, 1063, F4, 47) (dual of [1063, 874, 48]-code) | [i] | ✔ | |
| 12 | Linear OA(4214, 1089, F4, 51) (dual of [1089, 875, 52]-code) | [i] | ✔ | |