Information on Result #727602
Linear OA(325, 1023, F32, 3) (dual of [1023, 1018, 4]-code or 1023-cap in PG(4,32)), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 4
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(327, 1027, F32, 4) (dual of [1027, 1020, 5]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3213, 1033, F32, 6) (dual of [1033, 1020, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(329, 1027, F32, 5) (dual of [1027, 1018, 6]-code) | [i] | ✔ | |
| 4 | Linear OA(3212, 1030, F32, 6) (dual of [1030, 1018, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(3215, 1033, F32, 7) (dual of [1033, 1018, 8]-code) | [i] | ✔ | |
| 6 | Linear OA(3218, 1036, F32, 8) (dual of [1036, 1018, 9]-code) | [i] | ✔ | |