Information on Result #618105
Linear OA(3225, 1025, F32, 13) (dual of [1025, 1000, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound)
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(3278, 2050, F32, 27) (dual of [2050, 1972, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(32104, 33794, F32, 27) (dual of [33794, 33690, 28]-code) | [i] | ||
| 3 | Linear OA(3231, 1058, F32, 13) (dual of [1058, 1027, 14]-code) | [i] | ||
| 4 | Linear OA(3232, 1069, F32, 13) (dual of [1069, 1037, 14]-code) | [i] | ||
| 5 | Linear OA(3233, 1071, F32, 13) (dual of [1071, 1038, 14]-code) | [i] | ||
| 6 | Linear OA(3234, 1089, F32, 13) (dual of [1089, 1055, 14]-code) | [i] | ||
| 7 | Linear OA(3235, 1119, F32, 13) (dual of [1119, 1084, 14]-code) | [i] | ||
| 8 | Linear OA(3236, 2049, F32, 13) (dual of [2049, 2013, 14]-code) | [i] | ||
| 9 | Linear OA(3234, 1091, F32, 13) (dual of [1091, 1057, 14]-code) | [i] | ||
| 10 | Linear OA(3235, 1091, F32, 13) (dual of [1091, 1056, 14]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(3236, 1102, F32, 13) (dual of [1102, 1066, 14]-code) | [i] | ||
| 12 | Linear OA(3230, 1031, F32, 13) (dual of [1031, 1001, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 13 | Linear OA(3230, 1030, F32, 15) (dual of [1030, 1000, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(3226, 1030, F32, 13) (dual of [1030, 1004, 14]-code) | [i] | ✔ | |
| 15 | Linear OA(3236, 1036, F32, 17) (dual of [1036, 1000, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(3228, 1036, F32, 13) (dual of [1036, 1008, 14]-code) | [i] | ✔ | |
| 17 | Linear OA(3242, 1042, F32, 19) (dual of [1042, 1000, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(3230, 1042, F32, 13) (dual of [1042, 1012, 14]-code) | [i] | ✔ | |
| 19 | Linear OA(3248, 1048, F32, 21) (dual of [1048, 1000, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(3254, 1054, F32, 23) (dual of [1054, 1000, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(3260, 1058, F32, 25) (dual of [1058, 998, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(3261, 1061, F32, 25) (dual of [1061, 1000, 26]-code) | [i] | ✔ | |
| 23 | Linear OA(3259, 1058, F32, 24) (dual of [1058, 999, 25]-code) | [i] | ✔ | |