Information on Result #870722
Linear OOA(3266, 514, F32, 2, 34) (dual of [(514, 2), 962, 35]-NRT-code), using OOA 2-folding based on linear OA(3266, 1028, F32, 34) (dual of [1028, 962, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(3266, 1029, F32, 34) (dual of [1029, 963, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(30) [i] based on
- linear OA(3264, 1024, F32, 34) (dual of [1024, 960, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3261, 1024, F32, 31) (dual of [1024, 963, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(322, 5, F32, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- construction X applied to Ce(33) ⊂ Ce(30) [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(3294, 634, F32, 2, 34) (dual of [(634, 2), 1174, 35]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Digital (32, 66, 498)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |