Information on Result #707422
Linear OA(4216, 1023, F4, 58) (dual of [1023, 807, 59]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,57], and designed minimum distance d ≥ |I|+1 = 59
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4241, 1092, F4, 58) (dual of [1092, 851, 59]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4242, 1094, F4, 58) (dual of [1094, 852, 59]-code) | [i] | ✔ | |
| 3 | Linear OA(4250, 1077, F4, 63) (dual of [1077, 827, 64]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(4249, 1071, F4, 63) (dual of [1071, 822, 64]-code) | [i] | ✔ | |
| 5 | Linear OA(4240, 1060, F4, 62) (dual of [1060, 820, 63]-code) | [i] | ✔ | |
| 6 | Linear OA(4221, 1033, F4, 59) (dual of [1033, 812, 60]-code) | [i] | ✔ | |
| 7 | Linear OA(4258, 1084, F4, 64) (dual of [1084, 826, 65]-code) | [i] | ✔ | |
| 8 | Linear OA(4248, 1070, F4, 63) (dual of [1070, 822, 64]-code) | [i] | ✔ | |
| 9 | Linear OA(4238, 1053, F4, 62) (dual of [1053, 815, 63]-code) | [i] | ✔ | |
| 10 | Linear OA(4227, 1039, F4, 60) (dual of [1039, 812, 61]-code) | [i] | ✔ | |
| 11 | Linear OA(4256, 1077, F4, 64) (dual of [1077, 821, 65]-code) | [i] | ✔ | |
| 12 | Linear OA(4246, 1063, F4, 63) (dual of [1063, 817, 64]-code) | [i] | ✔ | |
| 13 | Linear OA(4245, 1057, F4, 63) (dual of [1057, 812, 64]-code) | [i] | ✔ | |
| 14 | Linear OA(4254, 1070, F4, 64) (dual of [1070, 816, 65]-code) | [i] | ✔ | |
| 15 | Linear OA(4236, 1048, F4, 62) (dual of [1048, 812, 63]-code) | [i] | ✔ | |
| 16 | Linear OA(4235, 1045, F4, 62) (dual of [1045, 810, 63]-code) | [i] | ✔ | |
| 17 | Linear OA(4243, 1055, F4, 63) (dual of [1055, 812, 64]-code) | [i] | ✔ | |
| 18 | Linear OA(4242, 1049, F4, 63) (dual of [1049, 807, 64]-code) | [i] | ✔ | |
| 19 | Linear OA(4251, 1062, F4, 64) (dual of [1062, 811, 65]-code) | [i] | ✔ | |
| 20 | Linear OA(4226, 1033, F4, 60) (dual of [1033, 807, 61]-code) | [i] | ✔ | |
| 21 | Linear OA(4240, 1045, F4, 63) (dual of [1045, 805, 64]-code) | [i] | ✔ | |
| 22 | Linear OA(4247, 1049, F4, 64) (dual of [1049, 802, 65]-code) | [i] | ✔ | |
| 23 | Linear OA(4249, 1056, F4, 65) (dual of [1056, 807, 66]-code) | [i] | ✔ | |
| 24 | Linear OA(4248, 1053, F4, 65) (dual of [1053, 805, 66]-code) | [i] | ✔ | |