Information on Result #728738
Linear OA(3284, 1023, F32, 44) (dual of [1023, 939, 45]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−3,−2,…,40}, and designed minimum distance d ≥ |I|+1 = 45
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 BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [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, 1078, F32, 44) (dual of [1078, 974, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(32103, 1076, F32, 44) (dual of [1076, 973, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(32103, 1078, F32, 44) (dual of [1078, 975, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(32102, 1076, F32, 44) (dual of [1076, 974, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(32102, 1077, F32, 44) (dual of [1077, 975, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(32101, 1075, F32, 44) (dual of [1075, 974, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(3286, 1033, F32, 44) (dual of [1033, 947, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(3288, 1033, F32, 45) (dual of [1033, 945, 46]-code) | [i] | ✔ | |