Information on Result #989266
Linear OOA(6443, 87382, F64, 3, 15) (dual of [(87382, 3), 262103, 16]-NRT-code), using OOA 3-folding based on linear OA(6443, 262146, F64, 15) (dual of [262146, 262103, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(6443, 262147, F64, 15) (dual of [262147, 262104, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(6443, 262144, F64, 15) (dual of [262144, 262101, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(6440, 262144, F64, 14) (dual of [262144, 262104, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 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
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
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(6450, 87447, F64, 3, 15) (dual of [(87447, 3), 262291, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6451, 87462, F64, 3, 15) (dual of [(87462, 3), 262335, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(6453, 87512, F64, 3, 15) (dual of [(87512, 3), 262483, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(6454, 87527, F64, 3, 15) (dual of [(87527, 3), 262527, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(6455, 87542, F64, 3, 15) (dual of [(87542, 3), 262571, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(6455, 87577, F64, 3, 15) (dual of [(87577, 3), 262676, 16]-NRT-code) | [i] | ||