Information on Result #708987
Linear OA(4191, 1023, F4, 51) (dual of [1023, 832, 52]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {293,294,…,343}, and designed minimum distance d ≥ |I|+1 = 52
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4207, 1073, F4, 51) (dual of [1073, 866, 52]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4202, 1064, F4, 51) (dual of [1064, 862, 52]-code) | [i] | ✔ | |
| 3 | Linear OA(4198, 1035, F4, 53) (dual of [1035, 837, 54]-code) | [i] | ✔ | |
| 4 | Linear OA(4231, 1083, F4, 57) (dual of [1083, 852, 58]-code) | [i] | ✔ | |
| 5 | Linear OA(4221, 1064, F4, 56) (dual of [1064, 843, 57]-code) | [i] | ✔ | |
| 6 | Linear OA(4226, 1073, F4, 57) (dual of [1073, 847, 58]-code) | [i] | ✔ | |
| 7 | Linear OA(4225, 1067, F4, 57) (dual of [1067, 842, 58]-code) | [i] | ✔ | |
| 8 | Linear OA(4224, 1066, F4, 57) (dual of [1066, 842, 58]-code) | [i] | ✔ | |
| 9 | Linear OA(4223, 1060, F4, 57) (dual of [1060, 837, 58]-code) | [i] | ✔ | |
| 10 | Linear OA(4222, 1059, F4, 57) (dual of [1059, 837, 58]-code) | [i] | ✔ | |
| 11 | Linear OA(4241, 1073, F4, 61) (dual of [1073, 832, 62]-code) | [i] | ✔ | |
| 12 | Linear OA(4240, 1067, F4, 61) (dual of [1067, 827, 62]-code) | [i] | ✔ | |
| 13 | Linear OA(4248, 1080, F4, 62) (dual of [1080, 832, 63]-code) | [i] | ✔ | |