Information on Result #729845
Linear OA(6427, 455, F64, 15) (dual of [455, 428, 16]-code), using the BCH-code C(I) with length 455 | 642−1, defining interval I = {58,59,…,72}, and designed minimum distance d ≥ |I|+1 = 16
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(6488, 4552, F64, 31) (dual of [4552, 4464, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(6486, 4551, F64, 30) (dual of [4551, 4465, 31]-code) | [i] | ||
| 3 | Linear OA(6488, 4553, F64, 31) (dual of [4553, 4465, 32]-code) | [i] | ||
| 4 | Linear OA(6486, 4553, F64, 30) (dual of [4553, 4467, 31]-code) | [i] | ||
| 5 | Linear OOA(6427, 363, F64, 2, 15) (dual of [(363, 2), 699, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Linear OOA(6427, 363, F64, 3, 15) (dual of [(363, 3), 1062, 16]-NRT-code) | [i] | ||
| 7 | Digital (12, 27, 363)-net over F64 | [i] | ||
| 8 | Linear OA(6429, 457, F64, 16) (dual of [457, 428, 17]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 9 | Linear OA(6431, 459, F64, 17) (dual of [459, 428, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 10 | Linear OOA(6427, 227, F64, 2, 15) (dual of [(227, 2), 427, 16]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(6427, 151, F64, 3, 15) (dual of [(151, 3), 426, 16]-NRT-code) | [i] | ||