Information on Result #697598
Linear OA(32104, 1050, F32, 50) (dual of [1050, 946, 51]-code), using construction X applied to Ce(49) ⊂ Ce(40) based on
- linear OA(3296, 1024, F32, 50) (dual of [1024, 928, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(3278, 1024, F32, 41) (dual of [1024, 946, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(328, 26, F32, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,32)), using
- discarding factors / shortening the dual code based on linear OA(328, 32, F32, 8) (dual of [32, 24, 9]-code or 32-arc in PG(7,32)), using
- Reed–Solomon code RS(24,32) [i]
- discarding factors / shortening the dual code based on linear OA(328, 32, F32, 8) (dual of [32, 24, 9]-code or 32-arc in PG(7,32)), 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(32104, 1004, F32, 2, 50) (dual of [(1004, 2), 1904, 51]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (54, 104, 1004)-net over F32 | [i] | ||
| 3 | Linear OOA(32104, 525, F32, 2, 50) (dual of [(525, 2), 946, 51]-NRT-code) | [i] | OOA Folding | |