Information on Result #989577
Linear OOA(6464, 87382, F64, 3, 22) (dual of [(87382, 3), 262082, 23]-NRT-code), using OOA 3-folding based on linear OA(6464, 262146, F64, 22) (dual of [262146, 262082, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(6464, 262147, F64, 22) (dual of [262147, 262083, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(6464, 262144, F64, 22) (dual of [262144, 262080, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(6461, 262144, F64, 21) (dual of [262144, 262083, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(21) ⊂ Ce(20) [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(6475, 87447, F64, 3, 22) (dual of [(87447, 3), 262266, 23]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6476, 87462, F64, 3, 22) (dual of [(87462, 3), 262310, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(6478, 87486, F64, 3, 22) (dual of [(87486, 3), 262380, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(6480, 87512, F64, 3, 22) (dual of [(87512, 3), 262456, 23]-NRT-code) | [i] | ||
| 5 | Linear OOA(6481, 87527, F64, 3, 22) (dual of [(87527, 3), 262500, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(6482, 87559, F64, 3, 22) (dual of [(87559, 3), 262595, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(6483, 87577, F64, 3, 22) (dual of [(87577, 3), 262648, 23]-NRT-code) | [i] | ||
| 8 | Linear OOA(6484, 87592, F64, 3, 22) (dual of [(87592, 3), 262692, 23]-NRT-code) | [i] | ||