Information on Result #873765
Linear OOA(6422, 131073, F64, 2, 8) (dual of [(131073, 2), 262124, 9]-NRT-code), using OOA 2-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, 131138, F64, 2, 8) (dual of [(131138, 2), 262250, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6427, 131153, F64, 2, 8) (dual of [(131153, 2), 262279, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(6483, 4325374, F64, 2, 16) (dual of [(4325374, 2), 8650665, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(6487, 4325374, F64, 2, 17) (dual of [(4325374, 2), 8650661, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(6422, 131073, F64, 3, 8) (dual of [(131073, 3), 393197, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (14, 22, 131073)-net over F64 | [i] | ||