Information on Result #729840
Linear OA(6416, 457, F64, 9) (dual of [457, 441, 10]-code), using construction X applied to C([28,36]) ⊂ C([29,36]) based on
- linear OA(6416, 455, F64, 9) (dual of [455, 439, 10]-code), using the BCH-code C(I) with length 455 | 642−1, defining interval I = {28,29,…,36}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(6414, 455, F64, 8) (dual of [455, 441, 9]-code), using the BCH-code C(I) with length 455 | 642−1, defining interval I = {29,30,…,36}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(6453, 4555, F64, 19) (dual of [4555, 4502, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(6471, 262604, F64, 19) (dual of [262604, 262533, 20]-code) | [i] | ||
| 3 | Linear OA(6468, 262604, F64, 18) (dual of [262604, 262536, 19]-code) | [i] | ||
| 4 | Linear OOA(6416, 228, F64, 2, 9) (dual of [(228, 2), 440, 10]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(6416, 152, F64, 3, 9) (dual of [(152, 3), 440, 10]-NRT-code) | [i] | ||