Information on Result #989525
Linear OOA(6461, 87382, F64, 3, 21) (dual of [(87382, 3), 262085, 22]-NRT-code), using OOA 3-folding based on linear OA(6461, 262146, F64, 21) (dual of [262146, 262085, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(6461, 262147, F64, 21) (dual of [262147, 262086, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- 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(6458, 262144, F64, 20) (dual of [262144, 262086, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(20) ⊂ Ce(19) [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(6471, 87447, F64, 3, 21) (dual of [(87447, 3), 262270, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6472, 87462, F64, 3, 21) (dual of [(87462, 3), 262314, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(6474, 87486, F64, 3, 21) (dual of [(87486, 3), 262384, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(6476, 87512, F64, 3, 21) (dual of [(87512, 3), 262460, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(6477, 87527, F64, 3, 21) (dual of [(87527, 3), 262504, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(6478, 87559, F64, 3, 21) (dual of [(87559, 3), 262599, 22]-NRT-code) | [i] | ||