Information on Result #989079
Linear OOA(6422, 87382, F64, 3, 8) (dual of [(87382, 3), 262124, 9]-NRT-code), using OOA 3-folding based on linear OA(6422, 262146, F64, 8) (dual of [262146, 262124, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(6422, 262147, F64, 8) (dual of [262147, 262125, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(6422, 262144, F64, 8) (dual of [262144, 262122, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(6419, 262144, F64, 7) (dual of [262144, 262125, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(7) ⊂ Ce(6) [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(6426, 87447, F64, 3, 8) (dual of [(87447, 3), 262315, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6427, 87462, F64, 3, 8) (dual of [(87462, 3), 262359, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(6428, 89398, F64, 3, 8) (dual of [(89398, 3), 268166, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(6483, 2883583, F64, 3, 16) (dual of [(2883583, 3), 8650666, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(6487, 2883583, F64, 3, 17) (dual of [(2883583, 3), 8650662, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(6444, 5592448, F64, 3, 8) (dual of [(5592448, 3), 16777300, 9]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |