Information on Result #729335
Linear OA(32102, 1023, F32, 53) (dual of [1023, 921, 54]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,52], and designed minimum distance d ≥ |I|+1 = 54
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]
- 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 BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(32104, 1027, F32, 54) (dual of [1027, 923, 55]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(32107, 1030, F32, 55) (dual of [1030, 923, 56]-code) | [i] | ✔ | |
| 3 | Linear OA(32110, 1033, F32, 56) (dual of [1033, 923, 57]-code) | [i] | ✔ | |
| 4 | Linear OA(32106, 1027, F32, 55) (dual of [1027, 921, 56]-code) | [i] | ✔ | |
| 5 | Linear OA(32109, 1030, F32, 56) (dual of [1030, 921, 57]-code) | [i] | ✔ | |