Information on Result #990290
Linear OOA(6473, 1366, F64, 3, 37) (dual of [(1366, 3), 4025, 38]-NRT-code), using OOA 3-folding based on linear OA(6473, 4098, F64, 37) (dual of [4098, 4025, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(35) [i] based on
- linear OA(6473, 4096, F64, 37) (dual of [4096, 4023, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(6471, 4096, F64, 36) (dual of [4096, 4025, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 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
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(6491, 1431, F64, 3, 37) (dual of [(1431, 3), 4202, 38]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Digital (36, 73, 1366)-net over F64 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |