Information on Result #727628
Linear OA(3211, 1023, F32, 6) (dual of [1023, 1012, 7]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3213, 1027, F32, 7) (dual of [1027, 1014, 8]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3216, 1030, F32, 8) (dual of [1030, 1014, 9]-code) | [i] | ✔ | |
| 3 | Linear OA(3219, 1033, F32, 9) (dual of [1033, 1014, 10]-code) | [i] | ✔ | |
| 4 | Linear OA(3222, 1036, F32, 10) (dual of [1036, 1014, 11]-code) | [i] | ✔ | |
| 5 | Linear OA(3225, 1039, F32, 11) (dual of [1039, 1014, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(3228, 1042, F32, 12) (dual of [1042, 1014, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(3215, 1027, F32, 8) (dual of [1027, 1012, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(3221, 1033, F32, 10) (dual of [1033, 1012, 11]-code) | [i] | ✔ | |
| 9 | Linear OA(3227, 1039, F32, 12) (dual of [1039, 1012, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(3233, 1045, F32, 14) (dual of [1045, 1012, 15]-code) | [i] | ✔ | |