Information on Result #709294
Linear OA(4221, 1023, F4, 59) (dual of [1023, 802, 60]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,52}, and designed minimum distance d ≥ |I|+1 = 60
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4244, 1089, F4, 59) (dual of [1089, 845, 60]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4239, 1079, F4, 59) (dual of [1079, 840, 60]-code) | [i] | ✔ | |
| 3 | Linear OA(4238, 1077, F4, 59) (dual of [1077, 839, 60]-code) | [i] | ✔ | |
| 4 | Linear OA(4237, 1072, F4, 59) (dual of [1072, 835, 60]-code) | [i] | ✔ | |
| 5 | Linear OA(4236, 1070, F4, 59) (dual of [1070, 834, 60]-code) | [i] | ✔ | |
| 6 | Linear OA(4235, 1065, F4, 59) (dual of [1065, 830, 60]-code) | [i] | ✔ | |
| 7 | Linear OA(4234, 1063, F4, 59) (dual of [1063, 829, 60]-code) | [i] | ✔ | |
| 8 | Linear OA(4241, 1087, F4, 59) (dual of [1087, 846, 60]-code) | [i] | ✔ | |
| 9 | Linear OA(4236, 1077, F4, 59) (dual of [1077, 841, 60]-code) | [i] | ✔ | |
| 10 | Linear OA(4234, 1070, F4, 59) (dual of [1070, 836, 60]-code) | [i] | ✔ | |
| 11 | Linear OA(4232, 1063, F4, 59) (dual of [1063, 831, 60]-code) | [i] | ✔ | |
| 12 | Linear OA(4238, 1062, F4, 60) (dual of [1062, 824, 61]-code) | [i] | ✔ | |
| 13 | Linear OA(4236, 1062, F4, 60) (dual of [1062, 826, 61]-code) | [i] | ✔ | |
| 14 | Linear OA(4254, 1079, F4, 63) (dual of [1079, 825, 64]-code) | [i] | ✔ | |
| 15 | Linear OA(4253, 1077, F4, 63) (dual of [1077, 824, 64]-code) | [i] | ✔ | |
| 16 | Linear OA(4251, 1077, F4, 63) (dual of [1077, 826, 64]-code) | [i] | ✔ | |
| 17 | Linear OA(4260, 1084, F4, 64) (dual of [1084, 824, 65]-code) | [i] | ✔ | |
| 18 | Linear OA(4258, 1084, F4, 64) (dual of [1084, 826, 65]-code) | [i] | ✔ | |