Information on Result #727654
Linear OA(3215, 1023, F32, 8) (dual of [1023, 1008, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3217, 1027, F32, 9) (dual of [1027, 1010, 10]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3220, 1030, F32, 10) (dual of [1030, 1010, 11]-code) | [i] | ✔ | |
| 3 | Linear OA(3223, 1033, F32, 11) (dual of [1033, 1010, 12]-code) | [i] | ✔ | |
| 4 | Linear OA(3226, 1036, F32, 12) (dual of [1036, 1010, 13]-code) | [i] | ✔ | |
| 5 | Linear OA(3229, 1039, F32, 13) (dual of [1039, 1010, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(3232, 1042, F32, 14) (dual of [1042, 1010, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(3235, 1045, F32, 15) (dual of [1045, 1010, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(3238, 1048, F32, 16) (dual of [1048, 1010, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(3219, 1027, F32, 10) (dual of [1027, 1008, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(3225, 1033, F32, 12) (dual of [1033, 1008, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(3231, 1039, F32, 14) (dual of [1039, 1008, 15]-code) | [i] | ✔ | |
| 12 | Linear OA(3237, 1045, F32, 16) (dual of [1045, 1008, 17]-code) | [i] | ✔ | |
| 13 | Linear OA(3243, 1051, F32, 18) (dual of [1051, 1008, 19]-code) | [i] | ✔ | |