Information on Result #728500
Linear OA(3272, 1023, F32, 38) (dual of [1023, 951, 39]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−4,−3,…,33}, and designed minimum distance d ≥ |I|+1 = 39
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3285, 1057, F32, 39) (dual of [1057, 972, 40]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3289, 1061, F32, 40) (dual of [1061, 972, 41]-code) | [i] | ✔ | |
| 3 | Linear OA(3284, 1054, F32, 39) (dual of [1054, 970, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(3288, 1060, F32, 40) (dual of [1060, 972, 41]-code) | [i] | ✔ | |
| 5 | Linear OA(3292, 1064, F32, 41) (dual of [1064, 972, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(3283, 1051, F32, 39) (dual of [1051, 968, 40]-code) | [i] | ✔ | |
| 7 | Linear OA(3291, 1063, F32, 41) (dual of [1063, 972, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(3295, 1067, F32, 42) (dual of [1067, 972, 43]-code) | [i] | ✔ | |
| 9 | Linear OA(3282, 1048, F32, 39) (dual of [1048, 966, 40]-code) | [i] | ✔ | |
| 10 | Linear OA(3294, 1066, F32, 42) (dual of [1066, 972, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(3298, 1070, F32, 43) (dual of [1070, 972, 44]-code) | [i] | ✔ | |
| 12 | Linear OA(32102, 1073, F32, 44) (dual of [1073, 971, 45]-code) | [i] | ✔ | |
| 13 | Linear OA(3281, 1045, F32, 39) (dual of [1045, 964, 40]-code) | [i] | ✔ | |
| 14 | Linear OA(3297, 1069, F32, 43) (dual of [1069, 972, 44]-code) | [i] | ✔ | |
| 15 | Linear OA(32101, 1073, F32, 44) (dual of [1073, 972, 45]-code) | [i] | ✔ | |
| 16 | Linear OA(32105, 1076, F32, 45) (dual of [1076, 971, 46]-code) | [i] | ✔ | |
| 17 | Linear OA(3280, 1042, F32, 39) (dual of [1042, 962, 40]-code) | [i] | ✔ | |
| 18 | Linear OA(32100, 1072, F32, 44) (dual of [1072, 972, 45]-code) | [i] | ✔ | |
| 19 | Linear OA(32104, 1076, F32, 45) (dual of [1076, 972, 46]-code) | [i] | ✔ | |
| 20 | Linear OA(32108, 1079, F32, 46) (dual of [1079, 971, 47]-code) | [i] | ✔ | |
| 21 | Linear OA(32103, 1075, F32, 45) (dual of [1075, 972, 46]-code) | [i] | ✔ | |
| 22 | Linear OA(32107, 1079, F32, 46) (dual of [1079, 972, 47]-code) | [i] | ✔ | |
| 23 | Linear OA(32106, 1078, F32, 46) (dual of [1078, 972, 47]-code) | [i] | ✔ | |
| 24 | Linear OA(32110, 1082, F32, 47) (dual of [1082, 972, 48]-code) | [i] | ✔ | |
| 25 | Linear OA(3277, 1036, F32, 39) (dual of [1036, 959, 40]-code) | [i] | ✔ | |
| 26 | Linear OA(32109, 1081, F32, 47) (dual of [1081, 972, 48]-code) | [i] | ✔ | |