Information on Result #871074
Linear OOA(3276, 516, F32, 2, 39) (dual of [(516, 2), 956, 40]-NRT-code), using OOA 2-folding based on linear OA(3276, 1032, F32, 39) (dual of [1032, 956, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(35) [i] based on
- linear OA(3274, 1024, F32, 39) (dual of [1024, 950, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(3268, 1024, F32, 36) (dual of [1024, 956, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(322, 8, F32, 2) (dual of [8, 6, 3]-code or 8-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
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, 636, F32, 2, 39) (dual of [(636, 2), 1166, 40]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Digital (37, 76, 516)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |