Information on Result #618168
Linear OA(3237, 1025, F32, 19) (dual of [1025, 988, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(3246, 1058, F32, 19) (dual of [1058, 1012, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3247, 1069, F32, 19) (dual of [1069, 1022, 20]-code) | [i] | ||
| 3 | Linear OA(3248, 1071, F32, 19) (dual of [1071, 1023, 20]-code) | [i] | ||
| 4 | Linear OA(3249, 1089, F32, 19) (dual of [1089, 1040, 20]-code) | [i] | ||
| 5 | Linear OA(3250, 1091, F32, 19) (dual of [1091, 1041, 20]-code) | [i] | ||
| 6 | Linear OA(3251, 1101, F32, 19) (dual of [1101, 1050, 20]-code) | [i] | ||
| 7 | Linear OA(3252, 1119, F32, 19) (dual of [1119, 1067, 20]-code) | [i] | ||
| 8 | Linear OA(3253, 1124, F32, 19) (dual of [1124, 1071, 20]-code) | [i] | ||
| 9 | Linear OA(3254, 2050, F32, 19) (dual of [2050, 1996, 20]-code) | [i] | ||
| 10 | Linear OA(3251, 1102, F32, 19) (dual of [1102, 1051, 20]-code) | [i] | ||
| 11 | Linear OA(3253, 1043, F32, 19) (dual of [1043, 990, 20]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(3251, 1041, F32, 19) (dual of [1041, 990, 20]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 13 | Linear OA(3252, 1091, F32, 19) (dual of [1091, 1039, 20]-code) | [i] | ||
| 14 | Linear OA(3253, 1102, F32, 19) (dual of [1102, 1049, 20]-code) | [i] | ||
| 15 | Linear OA(3254, 1113, F32, 19) (dual of [1113, 1059, 20]-code) | [i] | ||
| 16 | Linear OA(3245, 1034, F32, 19) (dual of [1034, 989, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 17 | Linear OA(3242, 1030, F32, 21) (dual of [1030, 988, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(3238, 1030, F32, 19) (dual of [1030, 992, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(3248, 1036, F32, 23) (dual of [1036, 988, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(3240, 1036, F32, 19) (dual of [1036, 996, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(3254, 1042, F32, 25) (dual of [1042, 988, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(3242, 1042, F32, 19) (dual of [1042, 1000, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(3260, 1048, F32, 27) (dual of [1048, 988, 28]-code) | [i] | ✔ | |
| 24 | Linear OA(3244, 1048, F32, 19) (dual of [1048, 1004, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(3266, 1054, F32, 29) (dual of [1054, 988, 30]-code) | [i] | ✔ | |
| 26 | Linear OA(3272, 1058, F32, 31) (dual of [1058, 986, 32]-code) | [i] | ✔ | |
| 27 | Linear OA(3273, 1061, F32, 31) (dual of [1061, 988, 32]-code) | [i] | ✔ | |
| 28 | Linear OA(3271, 1058, F32, 30) (dual of [1058, 987, 31]-code) | [i] | ✔ | |
| 29 | Linear OA(3279, 1067, F32, 33) (dual of [1067, 988, 34]-code) | [i] | ✔ | |