Information on Result #729319
Linear OA(3298, 1023, F32, 51) (dual of [1023, 925, 52]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,50], and designed minimum distance d ≥ |I|+1 = 52
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]
- 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(32100, 1027, F32, 52) (dual of [1027, 927, 53]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(32103, 1030, F32, 53) (dual of [1030, 927, 54]-code) | [i] | ✔ | |
| 3 | Linear OA(32106, 1033, F32, 54) (dual of [1033, 927, 55]-code) | [i] | ✔ | |
| 4 | Linear OA(32109, 1036, F32, 55) (dual of [1036, 927, 56]-code) | [i] | ✔ | |
| 5 | Linear OA(32102, 1027, F32, 53) (dual of [1027, 925, 54]-code) | [i] | ✔ | |
| 6 | Linear OA(32105, 1030, F32, 54) (dual of [1030, 925, 55]-code) | [i] | ✔ | |
| 7 | Linear OA(32108, 1033, F32, 55) (dual of [1033, 925, 56]-code) | [i] | ✔ | |