Information on Result #869118
Linear OOA(3220, 518, F32, 2, 9) (dual of [(518, 2), 1016, 10]-NRT-code), using OOA 2-folding based on linear OA(3220, 1036, F32, 9) (dual of [1036, 1016, 10]-code), using
- construction X applied to C([0,4]) ⊂ C([0,2]) [i] based on
- linear OA(3217, 1025, F32, 9) (dual of [1025, 1008, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(329, 1025, F32, 5) (dual of [1025, 1016, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(323, 11, F32, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,32) or 11-cap in PG(2,32)), using
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), using
- Reed–Solomon code RS(29,32) [i]
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), 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, 4194819, F32, 2, 18) (dual of [(4194819, 2), 8389532, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | OOA(32103, 4194819, S32, 2, 18) | [i] | ||
| 3 | OOA(32108, 4194819, S32, 2, 19) | [i] | ||