Information on Result #728531
Linear OA(3278, 1023, F32, 41) (dual of [1023, 945, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [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(3298, 1078, F32, 41) (dual of [1078, 980, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3297, 1076, F32, 41) (dual of [1076, 979, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(32100, 1085, F32, 41) (dual of [1085, 985, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(3299, 1082, F32, 41) (dual of [1082, 983, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(3298, 1079, F32, 41) (dual of [1079, 981, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(3297, 1078, F32, 41) (dual of [1078, 981, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(3296, 1076, F32, 41) (dual of [1076, 980, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(32101, 1089, F32, 41) (dual of [1089, 988, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(32100, 1087, F32, 41) (dual of [1087, 987, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(3299, 1084, F32, 41) (dual of [1084, 985, 42]-code) | [i] | ✔ | |
| 11 | Linear OA(3298, 1081, F32, 41) (dual of [1081, 983, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(3296, 1077, F32, 41) (dual of [1077, 981, 42]-code) | [i] | ✔ | |
| 13 | Linear OA(3295, 1075, F32, 41) (dual of [1075, 980, 42]-code) | [i] | ✔ | |
| 14 | Linear OA(3280, 1027, F32, 42) (dual of [1027, 947, 43]-code) | [i] | ✔ | |
| 15 | Linear OA(3283, 1030, F32, 43) (dual of [1030, 947, 44]-code) | [i] | ✔ | |
| 16 | Linear OA(3286, 1033, F32, 44) (dual of [1033, 947, 45]-code) | [i] | ✔ | |
| 17 | Linear OA(3289, 1036, F32, 45) (dual of [1036, 947, 46]-code) | [i] | ✔ | |
| 18 | Linear OA(3292, 1039, F32, 46) (dual of [1039, 947, 47]-code) | [i] | ✔ | |
| 19 | Linear OA(3295, 1042, F32, 47) (dual of [1042, 947, 48]-code) | [i] | ✔ | |
| 20 | Linear OA(3298, 1045, F32, 48) (dual of [1045, 947, 49]-code) | [i] | ✔ | |
| 21 | Linear OA(32101, 1048, F32, 49) (dual of [1048, 947, 50]-code) | [i] | ✔ | |
| 22 | Linear OA(32104, 1051, F32, 50) (dual of [1051, 947, 51]-code) | [i] | ✔ | |
| 23 | Linear OA(32107, 1054, F32, 51) (dual of [1054, 947, 52]-code) | [i] | ✔ | |
| 24 | Linear OA(32110, 1057, F32, 52) (dual of [1057, 947, 53]-code) | [i] | ✔ | |
| 25 | Linear OA(3282, 1027, F32, 43) (dual of [1027, 945, 44]-code) | [i] | ✔ | |
| 26 | Linear OA(3285, 1030, F32, 44) (dual of [1030, 945, 45]-code) | [i] | ✔ | |
| 27 | Linear OA(3288, 1033, F32, 45) (dual of [1033, 945, 46]-code) | [i] | ✔ | |
| 28 | Linear OA(3291, 1036, F32, 46) (dual of [1036, 945, 47]-code) | [i] | ✔ | |
| 29 | Linear OA(3294, 1039, F32, 47) (dual of [1039, 945, 48]-code) | [i] | ✔ | |
| 30 | Linear OA(3297, 1042, F32, 48) (dual of [1042, 945, 49]-code) | [i] | ✔ | |
| 31 | Linear OA(32100, 1045, F32, 49) (dual of [1045, 945, 50]-code) | [i] | ✔ | |
| 32 | Linear OA(32103, 1048, F32, 50) (dual of [1048, 945, 51]-code) | [i] | ✔ | |
| 33 | Linear OA(32106, 1051, F32, 51) (dual of [1051, 945, 52]-code) | [i] | ✔ | |
| 34 | Linear OA(32109, 1054, F32, 52) (dual of [1054, 945, 53]-code) | [i] | ✔ | |