Information on Result #709092
Linear OA(4201, 1023, F4, 54) (dual of [1023, 822, 55]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {296,297,…,349}, and designed minimum distance d ≥ |I|+1 = 55
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]
- 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(4221, 1086, F4, 54) (dual of [1086, 865, 55]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4220, 1084, F4, 54) (dual of [1084, 864, 55]-code) | [i] | ✔ | |
| 3 | Linear OA(4219, 1079, F4, 54) (dual of [1079, 860, 55]-code) | [i] | ✔ | |
| 4 | Linear OA(4218, 1077, F4, 54) (dual of [1077, 859, 55]-code) | [i] | ✔ | |
| 5 | Linear OA(4217, 1072, F4, 54) (dual of [1072, 855, 55]-code) | [i] | ✔ | |
| 6 | Linear OA(4216, 1070, F4, 54) (dual of [1070, 854, 55]-code) | [i] | ✔ | |
| 7 | Linear OA(4218, 1080, F4, 54) (dual of [1080, 862, 55]-code) | [i] | ✔ | |
| 8 | Linear OA(4227, 1072, F4, 57) (dual of [1072, 845, 58]-code) | [i] | ✔ | |
| 9 | Linear OA(4226, 1070, F4, 57) (dual of [1070, 844, 58]-code) | [i] | ✔ | |
| 10 | Linear OA(4234, 1079, F4, 58) (dual of [1079, 845, 59]-code) | [i] | ✔ | |
| 11 | Linear OA(4233, 1077, F4, 58) (dual of [1077, 844, 59]-code) | [i] | ✔ | |
| 12 | Linear OA(4224, 1066, F4, 57) (dual of [1066, 842, 58]-code) | [i] | ✔ | |
| 13 | Linear OA(4223, 1060, F4, 57) (dual of [1060, 837, 58]-code) | [i] | ✔ | |
| 14 | Linear OA(4241, 1086, F4, 59) (dual of [1086, 845, 60]-code) | [i] | ✔ | |