Information on Result #874030
Linear OOA(6449, 131073, F64, 2, 17) (dual of [(131073, 2), 262097, 18]-NRT-code), using OOA 2-folding based on linear OA(6449, 262146, F64, 17) (dual of [262146, 262097, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(6449, 262147, F64, 17) (dual of [262147, 262098, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(6449, 262144, F64, 17) (dual of [262144, 262095, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(6446, 262144, F64, 16) (dual of [262144, 262098, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(16) ⊂ Ce(15) [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(6457, 131138, F64, 2, 17) (dual of [(131138, 2), 262219, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6458, 131153, F64, 2, 17) (dual of [(131153, 2), 262248, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(6460, 131177, F64, 2, 17) (dual of [(131177, 2), 262294, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(6461, 131203, F64, 2, 17) (dual of [(131203, 2), 262345, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(6462, 131218, F64, 2, 17) (dual of [(131218, 2), 262374, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(6449, 111096, F64, 3, 17) (dual of [(111096, 3), 333239, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Digital (32, 49, 111096)-net over F64 | [i] | ||