Information on Result #727725
Linear OA(3243, 1023, F32, 22) (dual of [1023, 980, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23
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]
- 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(3254, 1059, F32, 22) (dual of [1059, 1005, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3245, 1027, F32, 23) (dual of [1027, 982, 24]-code) | [i] | ✔ | |
| 3 | Linear OA(3248, 1030, F32, 24) (dual of [1030, 982, 25]-code) | [i] | ✔ | |
| 4 | Linear OA(3251, 1033, F32, 25) (dual of [1033, 982, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(3283, 1078, F32, 34) (dual of [1078, 995, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(3254, 1036, F32, 26) (dual of [1036, 982, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(3282, 1075, F32, 34) (dual of [1075, 993, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(3257, 1039, F32, 27) (dual of [1039, 982, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(3281, 1072, F32, 34) (dual of [1072, 991, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(3285, 1076, F32, 35) (dual of [1076, 991, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(3260, 1042, F32, 28) (dual of [1042, 982, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(3280, 1069, F32, 34) (dual of [1069, 989, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(3284, 1073, F32, 35) (dual of [1073, 989, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(3263, 1045, F32, 29) (dual of [1045, 982, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(3266, 1048, F32, 30) (dual of [1048, 982, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(3269, 1051, F32, 31) (dual of [1051, 982, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(3272, 1054, F32, 32) (dual of [1054, 982, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(3247, 1027, F32, 24) (dual of [1027, 980, 25]-code) | [i] | ✔ | |
| 19 | Linear OA(3253, 1033, F32, 26) (dual of [1033, 980, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(3259, 1039, F32, 28) (dual of [1039, 980, 29]-code) | [i] | ✔ | |
| 21 | Linear OA(3265, 1045, F32, 30) (dual of [1045, 980, 31]-code) | [i] | ✔ | |
| 22 | Linear OA(3271, 1051, F32, 32) (dual of [1051, 980, 33]-code) | [i] | ✔ | |