Information on Result #873989
Linear OOA(6446, 131073, F64, 2, 16) (dual of [(131073, 2), 262100, 17]-NRT-code), using OOA 2-folding based on linear OA(6446, 262146, F64, 16) (dual of [262146, 262100, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(6446, 262147, F64, 16) (dual of [262147, 262101, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- 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(6443, 262144, F64, 15) (dual of [262144, 262101, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(15) ⊂ Ce(14) [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(6454, 131138, F64, 2, 16) (dual of [(131138, 2), 262222, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6455, 131153, F64, 2, 16) (dual of [(131153, 2), 262251, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(6457, 131177, F64, 2, 16) (dual of [(131177, 2), 262297, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(6458, 131203, F64, 2, 16) (dual of [(131203, 2), 262348, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(6459, 131218, F64, 2, 16) (dual of [(131218, 2), 262377, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(6446, 116753, F64, 3, 16) (dual of [(116753, 3), 350213, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Digital (30, 46, 116753)-net over F64 | [i] | ||