Information on Result #618380
Linear OA(3296, 1024, F32, 50) (dual of [1024, 928, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50
Mode: Constructive and linear.
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3298, 1026, F32, 51) (dual of [1026, 928, 52]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3296, 1026, F32, 50) (dual of [1026, 930, 51]-code) | [i] | ✔ | |
| 3 | Linear OA(32101, 1029, F32, 52) (dual of [1029, 928, 53]-code) | [i] | ✔ | |
| 4 | Linear OA(3297, 1029, F32, 50) (dual of [1029, 932, 51]-code) | [i] | ✔ | |
| 5 | Linear OA(32104, 1032, F32, 53) (dual of [1032, 928, 54]-code) | [i] | ✔ | |
| 6 | Linear OA(3298, 1032, F32, 50) (dual of [1032, 934, 51]-code) | [i] | ✔ | |
| 7 | Linear OA(32107, 1035, F32, 54) (dual of [1035, 928, 55]-code) | [i] | ✔ | |
| 8 | Linear OA(3299, 1035, F32, 50) (dual of [1035, 936, 51]-code) | [i] | ✔ | |
| 9 | Linear OA(32110, 1038, F32, 55) (dual of [1038, 928, 56]-code) | [i] | ✔ | |
| 10 | Linear OA(32100, 1038, F32, 50) (dual of [1038, 938, 51]-code) | [i] | ✔ | |
| 11 | Linear OA(32101, 1041, F32, 50) (dual of [1041, 940, 51]-code) | [i] | ✔ | |
| 12 | Linear OA(32102, 1044, F32, 50) (dual of [1044, 942, 51]-code) | [i] | ✔ | |
| 13 | Linear OA(32103, 1047, F32, 50) (dual of [1047, 944, 51]-code) | [i] | ✔ | |
| 14 | Linear OA(32104, 1050, F32, 50) (dual of [1050, 946, 51]-code) | [i] | ✔ | |
| 15 | Linear OA(32105, 1053, F32, 50) (dual of [1053, 948, 51]-code) | [i] | ✔ | |
| 16 | Linear OA(32106, 1056, F32, 50) (dual of [1056, 950, 51]-code) | [i] | ✔ | |
| 17 | Linear OA(32108, 1060, F32, 50) (dual of [1060, 952, 51]-code) | [i] | ✔ | |
| 18 | Linear OA(32109, 1063, F32, 50) (dual of [1063, 954, 51]-code) | [i] | ✔ | |
| 19 | Linear OA(32110, 1066, F32, 50) (dual of [1066, 956, 51]-code) | [i] | ✔ | |
| 20 | Linear OA(32107, 1058, F32, 50) (dual of [1058, 951, 51]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |