Information on Result #728441
Linear OA(3270, 1023, F32, 37) (dual of [1023, 953, 38]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−3,−2,…,33}, and designed minimum distance d ≥ |I|+1 = 38
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3283, 1057, F32, 38) (dual of [1057, 974, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3287, 1061, F32, 39) (dual of [1061, 974, 40]-code) | [i] | ✔ | |
| 3 | Linear OA(3282, 1054, F32, 38) (dual of [1054, 972, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(3286, 1060, F32, 39) (dual of [1060, 974, 40]-code) | [i] | ✔ | |
| 5 | Linear OA(3290, 1064, F32, 40) (dual of [1064, 974, 41]-code) | [i] | ✔ | |
| 6 | Linear OA(3281, 1051, F32, 38) (dual of [1051, 970, 39]-code) | [i] | ✔ | |
| 7 | Linear OA(3289, 1063, F32, 40) (dual of [1063, 974, 41]-code) | [i] | ✔ | |
| 8 | Linear OA(3293, 1067, F32, 41) (dual of [1067, 974, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(3280, 1048, F32, 38) (dual of [1048, 968, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(3292, 1066, F32, 41) (dual of [1066, 974, 42]-code) | [i] | ✔ | |
| 11 | Linear OA(3296, 1070, F32, 42) (dual of [1070, 974, 43]-code) | [i] | ✔ | |
| 12 | Linear OA(32100, 1073, F32, 43) (dual of [1073, 973, 44]-code) | [i] | ✔ | |
| 13 | Linear OA(3279, 1045, F32, 38) (dual of [1045, 966, 39]-code) | [i] | ✔ | |
| 14 | Linear OA(3295, 1069, F32, 42) (dual of [1069, 974, 43]-code) | [i] | ✔ | |
| 15 | Linear OA(3299, 1073, F32, 43) (dual of [1073, 974, 44]-code) | [i] | ✔ | |
| 16 | Linear OA(32103, 1076, F32, 44) (dual of [1076, 973, 45]-code) | [i] | ✔ | |
| 17 | Linear OA(3278, 1042, F32, 38) (dual of [1042, 964, 39]-code) | [i] | ✔ | |
| 18 | Linear OA(3298, 1072, F32, 43) (dual of [1072, 974, 44]-code) | [i] | ✔ | |
| 19 | Linear OA(32102, 1076, F32, 44) (dual of [1076, 974, 45]-code) | [i] | ✔ | |
| 20 | Linear OA(32106, 1079, F32, 45) (dual of [1079, 973, 46]-code) | [i] | ✔ | |
| 21 | Linear OA(3277, 1039, F32, 38) (dual of [1039, 962, 39]-code) | [i] | ✔ | |
| 22 | Linear OA(32101, 1075, F32, 44) (dual of [1075, 974, 45]-code) | [i] | ✔ | |
| 23 | Linear OA(32105, 1079, F32, 45) (dual of [1079, 974, 46]-code) | [i] | ✔ | |
| 24 | Linear OA(32109, 1082, F32, 46) (dual of [1082, 973, 47]-code) | [i] | ✔ | |
| 25 | Linear OA(32104, 1078, F32, 45) (dual of [1078, 974, 46]-code) | [i] | ✔ | |
| 26 | Linear OA(32108, 1082, F32, 46) (dual of [1082, 974, 47]-code) | [i] | ✔ | |
| 27 | Linear OA(32107, 1081, F32, 46) (dual of [1081, 974, 47]-code) | [i] | ✔ | |
| 28 | Linear OA(3274, 1033, F32, 38) (dual of [1033, 959, 39]-code) | [i] | ✔ | |
| 29 | Linear OA(32110, 1084, F32, 47) (dual of [1084, 974, 48]-code) | [i] | ✔ | |