Information on Result #729909
Linear OA(6454, 587, F64, 29) (dual of [587, 533, 30]-code), using construction X applied to C([18,46]) ⊂ C([19,46]) based on
- linear OA(6454, 585, F64, 29) (dual of [585, 531, 30]-code), using the BCH-code C(I) with length 585 | 642−1, defining interval I = {18,19,…,46}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(6452, 585, F64, 28) (dual of [585, 533, 29]-code), using the BCH-code C(I) with length 585 | 642−1, defining interval I = {19,20,…,46}, and designed minimum distance d ≥ |I|+1 = 29 [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 OOA(6454, 587, F64, 2, 29) (dual of [(587, 2), 1120, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6454, 587, F64, 3, 29) (dual of [(587, 3), 1707, 30]-NRT-code) | [i] | ||
| 3 | Digital (25, 54, 587)-net over F64 | [i] | ||
| 4 | Linear OOA(6454, 293, F64, 2, 29) (dual of [(293, 2), 532, 30]-NRT-code) | [i] | OOA Folding | |