Information on Result #709314
Linear OA(4216, 1023, F4, 57) (dual of [1023, 807, 58]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,50}, and designed minimum distance d ≥ |I|+1 = 58
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 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(4235, 1065, F4, 59) (dual of [1065, 830, 60]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4234, 1063, F4, 59) (dual of [1063, 829, 60]-code) | [i] | ✔ | |
| 3 | Linear OA(4232, 1063, F4, 59) (dual of [1063, 831, 60]-code) | [i] | ✔ | |
| 4 | Linear OA(4241, 1070, F4, 60) (dual of [1070, 829, 61]-code) | [i] | ✔ | |
| 5 | Linear OA(4239, 1070, F4, 60) (dual of [1070, 831, 61]-code) | [i] | ✔ | |
| 6 | Linear OA(4259, 1089, F4, 63) (dual of [1089, 830, 64]-code) | [i] | ✔ | |
| 7 | Linear OA(4258, 1087, F4, 63) (dual of [1087, 829, 64]-code) | [i] | ✔ | |
| 8 | Linear OA(4256, 1087, F4, 63) (dual of [1087, 831, 64]-code) | [i] | ✔ | |