Information on Result #903794
Linear OOA(6473, 4194366, F64, 2, 17) (dual of [(4194366, 2), 8388659, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(648, 65, F64, 2, 8) (dual of [(65, 2), 122, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;122,64) [i]
- linear OOA(6465, 4194301, F64, 2, 17) (dual of [(4194301, 2), 8388537, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6465, 8388602, F64, 17) (dual of [8388602, 8388537, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(6465, large, F64, 17) (dual of [large, large−65, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6465, large, F64, 17) (dual of [large, large−65, 18]-code), using
- OOA 2-folding [i] based on linear OA(6465, 8388602, F64, 17) (dual of [8388602, 8388537, 18]-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(6473, 1048591, F64, 18, 17) (dual of [(1048591, 18), 18874565, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |