Information on Result #709117
Linear OA(4206, 1023, F4, 55) (dual of [1023, 817, 56]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,48}, and designed minimum distance d ≥ |I|+1 = 56
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(4229, 1089, F4, 55) (dual of [1089, 860, 56]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4228, 1087, F4, 55) (dual of [1087, 859, 56]-code) | [i] | ✔ | |
| 3 | Linear OA(4224, 1079, F4, 55) (dual of [1079, 855, 56]-code) | [i] | ✔ | |
| 4 | Linear OA(4223, 1077, F4, 55) (dual of [1077, 854, 56]-code) | [i] | ✔ | |
| 5 | Linear OA(4222, 1072, F4, 55) (dual of [1072, 850, 56]-code) | [i] | ✔ | |
| 6 | Linear OA(4221, 1070, F4, 55) (dual of [1070, 849, 56]-code) | [i] | ✔ | |
| 7 | Linear OA(4220, 1065, F4, 55) (dual of [1065, 845, 56]-code) | [i] | ✔ | |
| 8 | Linear OA(4219, 1063, F4, 55) (dual of [1063, 844, 56]-code) | [i] | ✔ | |
| 9 | Linear OA(4226, 1087, F4, 55) (dual of [1087, 861, 56]-code) | [i] | ✔ | |
| 10 | Linear OA(4221, 1077, F4, 55) (dual of [1077, 856, 56]-code) | [i] | ✔ | |
| 11 | Linear OA(4219, 1070, F4, 55) (dual of [1070, 851, 56]-code) | [i] | ✔ | |
| 12 | Linear OA(4217, 1063, F4, 55) (dual of [1063, 846, 56]-code) | [i] | ✔ | |
| 13 | Linear OA(4223, 1062, F4, 56) (dual of [1062, 839, 57]-code) | [i] | ✔ | |
| 14 | Linear OA(4221, 1062, F4, 56) (dual of [1062, 841, 57]-code) | [i] | ✔ | |
| 15 | Linear OA(4239, 1079, F4, 59) (dual of [1079, 840, 60]-code) | [i] | ✔ | |
| 16 | Linear OA(4238, 1077, F4, 59) (dual of [1077, 839, 60]-code) | [i] | ✔ | |
| 17 | Linear OA(4236, 1077, F4, 59) (dual of [1077, 841, 60]-code) | [i] | ✔ | |
| 18 | Linear OA(4246, 1086, F4, 60) (dual of [1086, 840, 61]-code) | [i] | ✔ | |
| 19 | Linear OA(4245, 1084, F4, 60) (dual of [1084, 839, 61]-code) | [i] | ✔ | |
| 20 | Linear OA(4243, 1084, F4, 60) (dual of [1084, 841, 61]-code) | [i] | ✔ | |