Information on Result #709120
Linear OA(4196, 1023, F4, 53) (dual of [1023, 827, 54]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,48}, and designed minimum distance d ≥ |I|+1 = 54
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4208, 1066, F4, 53) (dual of [1066, 858, 54]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4207, 1064, F4, 53) (dual of [1064, 857, 54]-code) | [i] | ✔ | |
| 3 | Linear OA(4206, 1059, F4, 53) (dual of [1059, 853, 54]-code) | [i] | ✔ | |
| 4 | Linear OA(4205, 1057, F4, 53) (dual of [1057, 852, 54]-code) | [i] | ✔ | |
| 5 | Linear OA(4204, 1052, F4, 53) (dual of [1052, 848, 54]-code) | [i] | ✔ | |
| 6 | Linear OA(4202, 1050, F4, 52) (dual of [1050, 848, 53]-code) | [i] | ✔ | |
| 7 | Linear OA(4203, 1050, F4, 53) (dual of [1050, 847, 54]-code) | [i] | ✔ | |
| 8 | Linear OA(4201, 1046, F4, 52) (dual of [1046, 845, 53]-code) | [i] | ✔ | |
| 9 | Linear OA(4206, 1063, F4, 53) (dual of [1063, 857, 54]-code) | [i] | ✔ | |
| 10 | Linear OA(4205, 1060, F4, 53) (dual of [1060, 855, 54]-code) | [i] | ✔ | |
| 11 | Linear OA(4203, 1058, F4, 52) (dual of [1058, 855, 53]-code) | [i] | ✔ | |
| 12 | Linear OA(4204, 1056, F4, 53) (dual of [1056, 852, 54]-code) | [i] | ✔ | |
| 13 | Linear OA(4203, 1053, F4, 53) (dual of [1053, 850, 54]-code) | [i] | ✔ | |
| 14 | Linear OA(4202, 1049, F4, 53) (dual of [1049, 847, 54]-code) | [i] | ✔ | |
| 15 | Linear OA(4200, 1047, F4, 52) (dual of [1047, 847, 53]-code) | [i] | ✔ | |
| 16 | Linear OA(4201, 1046, F4, 53) (dual of [1046, 845, 54]-code) | [i] | ✔ | |
| 17 | Linear OA(4207, 1049, F4, 54) (dual of [1049, 842, 55]-code) | [i] | ✔ | |
| 18 | Linear OA(4206, 1048, F4, 54) (dual of [1048, 842, 55]-code) | [i] | ✔ | |
| 19 | Linear OA(4205, 1045, F4, 54) (dual of [1045, 840, 55]-code) | [i] | ✔ | |
| 20 | Linear OA(4214, 1057, F4, 55) (dual of [1057, 843, 56]-code) | [i] | ✔ | |
| 21 | Linear OA(4212, 1054, F4, 55) (dual of [1054, 842, 56]-code) | [i] | ✔ | |
| 22 | Linear OA(4211, 1051, F4, 55) (dual of [1051, 840, 56]-code) | [i] | ✔ | |
| 23 | Linear OA(4223, 1066, F4, 57) (dual of [1066, 843, 58]-code) | [i] | ✔ | |
| 24 | Linear OA(4222, 1064, F4, 57) (dual of [1064, 842, 58]-code) | [i] | ✔ | |
| 25 | Linear OA(4221, 1063, F4, 57) (dual of [1063, 842, 58]-code) | [i] | ✔ | |
| 26 | Linear OA(4220, 1060, F4, 57) (dual of [1060, 840, 58]-code) | [i] | ✔ | |
| 27 | Linear OA(4218, 1058, F4, 56) (dual of [1058, 840, 57]-code) | [i] | ✔ | |
| 28 | Linear OA(4230, 1073, F4, 58) (dual of [1073, 843, 59]-code) | [i] | ✔ | |
| 29 | Linear OOA(4196, 341, F4, 3, 53) (dual of [(341, 3), 827, 54]-NRT-code) | [i] | OOA Folding | |