Information on Result #707410
Linear OA(4206, 1023, F4, 55) (dual of [1023, 817, 56]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,54], and designed minimum distance d ≥ |I|+1 = 56
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]
- 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(4231, 1092, F4, 55) (dual of [1092, 861, 56]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4232, 1094, F4, 55) (dual of [1094, 862, 56]-code) | [i] | ✔ | |
| 3 | Linear OA(4240, 1077, F4, 60) (dual of [1077, 837, 61]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(4239, 1071, F4, 60) (dual of [1071, 832, 61]-code) | [i] | ✔ | |
| 5 | Linear OA(4230, 1060, F4, 59) (dual of [1060, 830, 60]-code) | [i] | ✔ | |
| 6 | Linear OA(4211, 1033, F4, 56) (dual of [1033, 822, 57]-code) | [i] | ✔ | |
| 7 | Linear OA(4238, 1070, F4, 60) (dual of [1070, 832, 61]-code) | [i] | ✔ | |
| 8 | Linear OA(4227, 1054, F4, 59) (dual of [1054, 827, 60]-code) | [i] | ✔ | |
| 9 | Linear OA(4226, 1051, F4, 59) (dual of [1051, 825, 60]-code) | [i] | ✔ | |
| 10 | Linear OA(4234, 1061, F4, 60) (dual of [1061, 827, 61]-code) | [i] | ✔ | |
| 11 | Linear OA(4233, 1055, F4, 60) (dual of [1055, 822, 61]-code) | [i] | ✔ | |
| 12 | Linear OA(4225, 1045, F4, 59) (dual of [1045, 820, 60]-code) | [i] | ✔ | |
| 13 | Linear OA(4232, 1049, F4, 60) (dual of [1049, 817, 61]-code) | [i] | ✔ | |
| 14 | Linear OA(4223, 1040, F4, 59) (dual of [1040, 817, 60]-code) | [i] | ✔ | |
| 15 | Linear OA(4232, 1049, F4, 61) (dual of [1049, 817, 62]-code) | [i] | ✔ | |
| 16 | Linear OA(4230, 1047, F4, 60) (dual of [1047, 817, 61]-code) | [i] | ✔ | |
| 17 | Linear OA(4231, 1046, F4, 61) (dual of [1046, 815, 62]-code) | [i] | ✔ | |
| 18 | Linear OA(4239, 1056, F4, 62) (dual of [1056, 817, 63]-code) | [i] | ✔ | |
| 19 | Linear OA(4247, 1063, F4, 63) (dual of [1063, 816, 64]-code) | [i] | ✔ | |
| 20 | Linear OA(4238, 1053, F4, 62) (dual of [1053, 815, 63]-code) | [i] | ✔ | |
| 21 | Linear OA(4246, 1063, F4, 63) (dual of [1063, 817, 64]-code) | [i] | ✔ | |
| 22 | Linear OA(4245, 1057, F4, 63) (dual of [1057, 812, 64]-code) | [i] | ✔ | |
| 23 | Linear OA(4254, 1070, F4, 64) (dual of [1070, 816, 65]-code) | [i] | ✔ | |
| 24 | Linear OA(4245, 1060, F4, 63) (dual of [1060, 815, 64]-code) | [i] | ✔ | |
| 25 | Linear OA(4253, 1070, F4, 64) (dual of [1070, 817, 65]-code) | [i] | ✔ | |