Information on Result #728678
Linear OA(3282, 1023, F32, 43) (dual of [1023, 941, 44]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44
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]
- 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(32104, 1084, F32, 43) (dual of [1084, 980, 44]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(32103, 1082, F32, 43) (dual of [1082, 979, 44]-code) | [i] | ✔ | |
| 3 | Linear OA(32105, 1088, F32, 43) (dual of [1088, 983, 44]-code) | [i] | ✔ | |
| 4 | Linear OA(32104, 1085, F32, 43) (dual of [1085, 981, 44]-code) | [i] | ✔ | |
| 5 | Linear OA(32103, 1084, F32, 43) (dual of [1084, 981, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(32102, 1082, F32, 43) (dual of [1082, 980, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(32105, 1089, F32, 43) (dual of [1089, 984, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(32104, 1087, F32, 43) (dual of [1087, 983, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(32102, 1083, F32, 43) (dual of [1083, 981, 44]-code) | [i] | ✔ | |
| 10 | Linear OA(32101, 1081, F32, 43) (dual of [1081, 980, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(3284, 1027, F32, 44) (dual of [1027, 943, 45]-code) | [i] | ✔ | |
| 12 | Linear OA(3287, 1030, F32, 45) (dual of [1030, 943, 46]-code) | [i] | ✔ | |
| 13 | Linear OA(3290, 1033, F32, 46) (dual of [1033, 943, 47]-code) | [i] | ✔ | |
| 14 | Linear OA(3293, 1036, F32, 47) (dual of [1036, 943, 48]-code) | [i] | ✔ | |
| 15 | Linear OA(3296, 1039, F32, 48) (dual of [1039, 943, 49]-code) | [i] | ✔ | |
| 16 | Linear OA(3299, 1042, F32, 49) (dual of [1042, 943, 50]-code) | [i] | ✔ | |
| 17 | Linear OA(32102, 1045, F32, 50) (dual of [1045, 943, 51]-code) | [i] | ✔ | |
| 18 | Linear OA(32105, 1048, F32, 51) (dual of [1048, 943, 52]-code) | [i] | ✔ | |
| 19 | Linear OA(32108, 1051, F32, 52) (dual of [1051, 943, 53]-code) | [i] | ✔ | |
| 20 | Linear OA(3286, 1027, F32, 45) (dual of [1027, 941, 46]-code) | [i] | ✔ | |
| 21 | Linear OA(3289, 1030, F32, 46) (dual of [1030, 941, 47]-code) | [i] | ✔ | |
| 22 | Linear OA(3292, 1033, F32, 47) (dual of [1033, 941, 48]-code) | [i] | ✔ | |
| 23 | Linear OA(3295, 1036, F32, 48) (dual of [1036, 941, 49]-code) | [i] | ✔ | |
| 24 | Linear OA(3298, 1039, F32, 49) (dual of [1039, 941, 50]-code) | [i] | ✔ | |
| 25 | Linear OA(32101, 1042, F32, 50) (dual of [1042, 941, 51]-code) | [i] | ✔ | |
| 26 | Linear OA(32104, 1045, F32, 51) (dual of [1045, 941, 52]-code) | [i] | ✔ | |
| 27 | Linear OA(32107, 1048, F32, 52) (dual of [1048, 941, 53]-code) | [i] | ✔ | |
| 28 | Linear OA(32110, 1051, F32, 53) (dual of [1051, 941, 54]-code) | [i] | ✔ | |