Information on Result #873724
Linear OOA(6413, 131073, F64, 2, 5) (dual of [(131073, 2), 262133, 6]-NRT-code), using OOA 2-folding based on linear OA(6413, 262146, F64, 5) (dual of [262146, 262133, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(6413, 262147, F64, 5) (dual of [262147, 262134, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(6413, 262144, F64, 5) (dual of [262144, 262131, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(6410, 262144, F64, 4) (dual of [262144, 262134, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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(4) ⊂ Ce(3) [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(6415, 131138, F64, 2, 5) (dual of [(131138, 2), 262261, 6]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6416, 135234, F64, 2, 5) (dual of [(135234, 2), 270452, 6]-NRT-code) | [i] | ||
| 3 | Linear OOA(6450, 4325374, F64, 2, 10) (dual of [(4325374, 2), 8650698, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(6454, 4325374, F64, 2, 11) (dual of [(4325374, 2), 8650694, 12]-NRT-code) | [i] | ||
| 5 | Linear OOA(6420, large, F64, 2, 5) | [i] | Generalized (u, u+v)-Construction for OOAs | |