Information on Result #697532
Linear OA(3298, 1044, F32, 48) (dual of [1044, 946, 49]-code), using construction X applied to Ce(47) ⊂ Ce(40) based on
- linear OA(3292, 1024, F32, 48) (dual of [1024, 932, 49]-code), using an extension Ce(47) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48 [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(326, 20, F32, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,32)), using
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), using
- Reed–Solomon code RS(26,32) [i]
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), 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(3298, 845, F32, 2, 48) (dual of [(845, 2), 1592, 49]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (50, 98, 845)-net over F32 | [i] | ||
| 3 | Linear OOA(3298, 522, F32, 2, 48) (dual of [(522, 2), 946, 49]-NRT-code) | [i] | OOA Folding | |