Information on Result #728813
Linear OA(3286, 1023, F32, 45) (dual of [1023, 937, 46]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−4,−3,…,40}, and designed minimum distance d ≥ |I|+1 = 46
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 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, 1078, F32, 45) (dual of [1078, 972, 46]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(32105, 1076, F32, 45) (dual of [1076, 971, 46]-code) | [i] | ✔ | |
| 3 | Linear OA(32105, 1078, F32, 45) (dual of [1078, 973, 46]-code) | [i] | ✔ | |
| 4 | Linear OA(32104, 1076, F32, 45) (dual of [1076, 972, 46]-code) | [i] | ✔ | |
| 5 | Linear OA(32104, 1077, F32, 45) (dual of [1077, 973, 46]-code) | [i] | ✔ | |
| 6 | Linear OA(32103, 1075, F32, 45) (dual of [1075, 972, 46]-code) | [i] | ✔ | |
| 7 | Linear OA(3289, 1036, F32, 45) (dual of [1036, 947, 46]-code) | [i] | ✔ | |
| 8 | Linear OA(3291, 1036, F32, 46) (dual of [1036, 945, 47]-code) | [i] | ✔ | |