Information on Result #709061
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 = {297,298,…,349}, 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(4219, 1089, F4, 53) (dual of [1089, 870, 54]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4218, 1087, F4, 53) (dual of [1087, 869, 54]-code) | [i] | ✔ | |
| 3 | Linear OA(4214, 1079, F4, 53) (dual of [1079, 865, 54]-code) | [i] | ✔ | |
| 4 | Linear OA(4213, 1077, F4, 53) (dual of [1077, 864, 54]-code) | [i] | ✔ | |
| 5 | Linear OA(4212, 1072, F4, 53) (dual of [1072, 860, 54]-code) | [i] | ✔ | |
| 6 | Linear OA(4211, 1070, F4, 53) (dual of [1070, 859, 54]-code) | [i] | ✔ | |
| 7 | Linear OA(4210, 1065, F4, 53) (dual of [1065, 855, 54]-code) | [i] | ✔ | |
| 8 | Linear OA(4209, 1063, F4, 53) (dual of [1063, 854, 54]-code) | [i] | ✔ | |
| 9 | Linear OA(4216, 1083, F4, 53) (dual of [1083, 867, 54]-code) | [i] | ✔ | |
| 10 | Linear OA(4211, 1073, F4, 53) (dual of [1073, 862, 54]-code) | [i] | ✔ | |
| 11 | Linear OA(4210, 1067, F4, 53) (dual of [1067, 857, 54]-code) | [i] | ✔ | |
| 12 | Linear OA(4209, 1066, F4, 53) (dual of [1066, 857, 54]-code) | [i] | ✔ | |
| 13 | Linear OA(4208, 1060, F4, 53) (dual of [1060, 852, 54]-code) | [i] | ✔ | |
| 14 | Linear OA(4207, 1059, F4, 53) (dual of [1059, 852, 54]-code) | [i] | ✔ | |
| 15 | Linear OA(4220, 1070, F4, 55) (dual of [1070, 850, 56]-code) | [i] | ✔ | |
| 16 | Linear OA(4219, 1068, F4, 55) (dual of [1068, 849, 56]-code) | [i] | ✔ | |
| 17 | Linear OA(4229, 1079, F4, 57) (dual of [1079, 850, 58]-code) | [i] | ✔ | |
| 18 | Linear OA(4228, 1077, F4, 57) (dual of [1077, 849, 58]-code) | [i] | ✔ | |
| 19 | Linear OA(4236, 1086, F4, 58) (dual of [1086, 850, 59]-code) | [i] | ✔ | |
| 20 | Linear OA(4235, 1084, F4, 58) (dual of [1084, 849, 59]-code) | [i] | ✔ | |
| 21 | Linear OA(4226, 1073, F4, 57) (dual of [1073, 847, 58]-code) | [i] | ✔ | |
| 22 | Linear OA(4225, 1067, F4, 57) (dual of [1067, 842, 58]-code) | [i] | ✔ | |
| 23 | Linear OA(4233, 1080, F4, 58) (dual of [1080, 847, 59]-code) | [i] | ✔ | |
| 24 | Linear OOA(4196, 341, F4, 3, 53) (dual of [(341, 3), 827, 54]-NRT-code) | [i] | OOA Folding | |