Information on Result #707419
Linear OA(4211, 1023, F4, 57) (dual of [1023, 812, 58]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,56], and designed minimum distance d ≥ |I|+1 = 58
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4236, 1092, F4, 57) (dual of [1092, 856, 58]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4237, 1094, F4, 57) (dual of [1094, 857, 58]-code) | [i] | ✔ | |
| 3 | Linear OA(4256, 1087, F4, 63) (dual of [1087, 831, 64]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(4236, 1063, F4, 61) (dual of [1063, 827, 62]-code) | [i] | ✔ | |
| 5 | Linear OA(4235, 1060, F4, 61) (dual of [1060, 825, 62]-code) | [i] | ✔ | |
| 6 | Linear OA(4233, 1058, F4, 60) (dual of [1058, 825, 61]-code) | [i] | ✔ | |
| 7 | Linear OA(4223, 1040, F4, 59) (dual of [1040, 817, 60]-code) | [i] | ✔ | |
| 8 | Linear OA(4243, 1070, F4, 62) (dual of [1070, 827, 63]-code) | [i] | ✔ | |
| 9 | Linear OA(4242, 1064, F4, 62) (dual of [1064, 822, 63]-code) | [i] | ✔ | |
| 10 | Linear OA(4234, 1056, F4, 61) (dual of [1056, 822, 62]-code) | [i] | ✔ | |
| 11 | Linear OA(4233, 1053, F4, 61) (dual of [1053, 820, 62]-code) | [i] | ✔ | |
| 12 | Linear OA(4251, 1077, F4, 63) (dual of [1077, 826, 64]-code) | [i] | ✔ | |
| 13 | Linear OA(4241, 1063, F4, 62) (dual of [1063, 822, 63]-code) | [i] | ✔ | |
| 14 | Linear OA(4240, 1057, F4, 62) (dual of [1057, 817, 63]-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(4249, 1070, F4, 63) (dual of [1070, 821, 64]-code) | [i] | ✔ | |
| 19 | Linear OA(4239, 1056, F4, 62) (dual of [1056, 817, 63]-code) | [i] | ✔ | |
| 20 | Linear OA(4259, 1079, F4, 64) (dual of [1079, 820, 65]-code) | [i] | ✔ | |
| 21 | Linear OA(4247, 1063, F4, 63) (dual of [1063, 816, 64]-code) | [i] | ✔ | |
| 22 | Linear OA(4257, 1072, F4, 64) (dual of [1072, 815, 65]-code) | [i] | ✔ | |
| 23 | Linear OA(4221, 1033, F4, 59) (dual of [1033, 812, 60]-code) | [i] | ✔ | |
| 24 | Linear OA(4227, 1039, F4, 60) (dual of [1039, 812, 61]-code) | [i] | ✔ | |
| 25 | Linear OA(4236, 1048, F4, 62) (dual of [1048, 812, 63]-code) | [i] | ✔ | |
| 26 | Linear OA(4235, 1045, F4, 62) (dual of [1045, 810, 63]-code) | [i] | ✔ | |
| 27 | Linear OA(4243, 1055, F4, 63) (dual of [1055, 812, 64]-code) | [i] | ✔ | |
| 28 | Linear OA(4242, 1049, F4, 63) (dual of [1049, 807, 64]-code) | [i] | ✔ | |
| 29 | Linear OA(4251, 1062, F4, 64) (dual of [1062, 811, 65]-code) | [i] | ✔ | |
| 30 | Linear OA(4242, 1054, F4, 63) (dual of [1054, 812, 64]-code) | [i] | ✔ | |
| 31 | Linear OA(4241, 1051, F4, 63) (dual of [1051, 810, 64]-code) | [i] | ✔ | |
| 32 | Linear OA(4249, 1061, F4, 64) (dual of [1061, 812, 65]-code) | [i] | ✔ | |
| 33 | Linear OA(4248, 1055, F4, 64) (dual of [1055, 807, 65]-code) | [i] | ✔ | |
| 34 | Linear OA(4251, 1063, F4, 65) (dual of [1063, 812, 66]-code) | [i] | ✔ | |
| 35 | Linear OA(4250, 1060, F4, 65) (dual of [1060, 810, 66]-code) | [i] | ✔ | |
| 36 | Linear OA(4248, 1058, F4, 64) (dual of [1058, 810, 65]-code) | [i] | ✔ | |
| 37 | Linear OA(4258, 1070, F4, 66) (dual of [1070, 812, 67]-code) | [i] | ✔ | |
| 38 | Linear OOA(4211, 341, F4, 3, 57) (dual of [(341, 3), 812, 58]-NRT-code) | [i] | OOA Folding | |