Information on Result #871391
Linear OOA(3284, 513, F32, 2, 44) (dual of [(513, 2), 942, 45]-NRT-code), using OOA 2-folding based on linear OA(3284, 1026, F32, 44) (dual of [1026, 942, 45]-code), using
- construction X applied to Ce(43) ⊂ Ce(42) [i] based on
- linear OA(3284, 1024, F32, 44) (dual of [1024, 940, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3282, 1024, F32, 43) (dual of [1024, 942, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 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(32106, 546, F32, 2, 44) (dual of [(546, 2), 986, 45]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(32107, 557, F32, 2, 44) (dual of [(557, 2), 1007, 45]-NRT-code) | [i] | ||
| 3 | Linear OOA(32109, 577, F32, 2, 44) (dual of [(577, 2), 1045, 45]-NRT-code) | [i] | ||
| 4 | Digital (40, 84, 513)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |