Information on Result #903589
Linear OOA(6439, 4196317, F64, 2, 9) (dual of [(4196317, 2), 8392595, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(646, 2016, F64, 2, 4) (dual of [(2016, 2), 4026, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(646, 4032, F64, 4) (dual of [4032, 4026, 5]-code), using
- 1 times truncation [i] based on linear OA(647, 4033, F64, 5) (dual of [4033, 4026, 6]-code), using
- OOA 2-folding [i] based on linear OA(646, 4032, F64, 4) (dual of [4032, 4026, 5]-code), using
- linear OOA(6433, 4194301, F64, 2, 9) (dual of [(4194301, 2), 8388569, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6433, 8388602, F64, 9) (dual of [8388602, 8388569, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(6433, large, F64, 9) (dual of [large, large−33, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6433, large, F64, 9) (dual of [large, large−33, 10]-code), using
- OOA 2-folding [i] based on linear OA(6433, 8388602, F64, 9) (dual of [8388602, 8388569, 10]-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(3247, 4196317, S32, 2, 9) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(6439, 2098158, F64, 10, 9) (dual of [(2098158, 10), 20981541, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |