Information on Result #903728
Linear OOA(6464, 4194366, F64, 2, 15) (dual of [(4194366, 2), 8388668, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(647, 65, F64, 2, 7) (dual of [(65, 2), 123, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;123,64) [i]
- linear OOA(6457, 4194301, F64, 2, 15) (dual of [(4194301, 2), 8388545, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6457, 8388602, F64, 15) (dual of [8388602, 8388545, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- OOA 2-folding [i] based on linear OA(6457, 8388602, F64, 15) (dual of [8388602, 8388545, 16]-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 | OOA(3277, 4194366, S32, 2, 15) | [i] | Discarding Parts of the Base for OOAs | |