Information on Result #989368
Linear OOA(6436, 1367, F64, 3, 18) (dual of [(1367, 3), 4065, 19]-NRT-code), using OOA 3-folding based on linear OA(6436, 4101, F64, 18) (dual of [4101, 4065, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(15) [i] based on
- linear OA(6435, 4096, F64, 18) (dual of [4096, 4061, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(6431, 4096, F64, 16) (dual of [4096, 4065, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(6446, 1447, F64, 3, 18) (dual of [(1447, 3), 4295, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Digital (18, 36, 1367)-net over F64 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |