Information on Result #901778
Linear OOA(3223, 4194334, F32, 2, 5) (dual of [(4194334, 2), 8388645, 6]-NRT-code), using (u, u+v)-construction based on
- linear OOA(322, 33, F32, 2, 2) (dual of [(33, 2), 64, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;64,32) [i]
- linear OOA(3221, 4194301, F32, 2, 5) (dual of [(4194301, 2), 8388581, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3221, 8388602, F32, 5) (dual of [8388602, 8388581, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(3221, large, F32, 5) (dual of [large, large−21, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 33554433 | 3210−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3221, large, F32, 5) (dual of [large, large−21, 6]-code), using
- OOA 2-folding [i] based on linear OA(3221, 8388602, F32, 5) (dual of [8388602, 8388581, 6]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(3223, 4194333, F32, 6, 5) (dual of [(4194333, 6), 25165975, 6]-NRT-code) | [i] | OOA Stacking with Additional Row | |