Information on Result #709151
Linear OA(4206, 1023, F4, 55) (dual of [1023, 817, 56]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {295,296,…,349}, and designed minimum distance d ≥ |I|+1 = 56
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(4226, 1086, F4, 55) (dual of [1086, 860, 56]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4225, 1084, F4, 55) (dual of [1084, 859, 56]-code) | [i] | ✔ | |
| 3 | Linear OA(4220, 1070, F4, 55) (dual of [1070, 850, 56]-code) | [i] | ✔ | |
| 4 | Linear OA(4219, 1068, F4, 55) (dual of [1068, 849, 56]-code) | [i] | ✔ | |
| 5 | Linear OA(4225, 1065, F4, 57) (dual of [1065, 840, 58]-code) | [i] | ✔ | |
| 6 | Linear OA(4224, 1063, F4, 57) (dual of [1063, 839, 58]-code) | [i] | ✔ | |
| 7 | Linear OA(4232, 1072, F4, 58) (dual of [1072, 840, 59]-code) | [i] | ✔ | |
| 8 | Linear OA(4231, 1070, F4, 58) (dual of [1070, 839, 59]-code) | [i] | ✔ | |
| 9 | Linear OA(4222, 1059, F4, 57) (dual of [1059, 837, 58]-code) | [i] | ✔ | |
| 10 | Linear OA(4249, 1089, F4, 61) (dual of [1089, 840, 62]-code) | [i] | ✔ | |
| 11 | Linear OA(4248, 1087, F4, 61) (dual of [1087, 839, 62]-code) | [i] | ✔ | |
| 12 | Linear OA(4246, 1083, F4, 61) (dual of [1083, 837, 62]-code) | [i] | ✔ | |