Information on Result #697435
Linear OA(3268, 1035, F32, 34) (dual of [1035, 967, 35]-code), using construction X applied to Ce(33) ⊂ Ce(28) 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(3257, 1024, F32, 29) (dual of [1024, 967, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(324, 11, F32, 4) (dual of [11, 7, 5]-code or 11-arc in PG(3,32)), using
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), using
- Reed–Solomon code RS(28,32) [i]
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), 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 | OA(8114, 1035, S8, 34) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(1685, 1035, S16, 34) | [i] | ||
| 3 | Linear OOA(3268, 570, F32, 2, 34) (dual of [(570, 2), 1072, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (34, 68, 570)-net over F32 | [i] | ||
| 5 | Linear OOA(3268, 517, F32, 2, 34) (dual of [(517, 2), 966, 35]-NRT-code) | [i] | OOA Folding | |