Information on Result #728754
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 = {−1,0,…,42}, 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(32106, 1084, F32, 44) (dual of [1084, 978, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(32105, 1082, F32, 44) (dual of [1082, 977, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(32105, 1084, F32, 44) (dual of [1084, 979, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(32104, 1082, F32, 44) (dual of [1082, 978, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(32104, 1083, F32, 44) (dual of [1083, 979, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(32103, 1081, F32, 44) (dual of [1081, 978, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(3284, 1027, F32, 44) (dual of [1027, 943, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(3286, 1027, F32, 45) (dual of [1027, 941, 46]-code) | [i] | ✔ | |