Information on Result #896158
Linear OOA(5111, 4194334, F5, 2, 13) (dual of [(4194334, 2), 8388557, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(510, 33, F5, 2, 6) (dual of [(33, 2), 56, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 10, 33)-net over F5, using
- linear OOA(5101, 4194301, F5, 2, 13) (dual of [(4194301, 2), 8388501, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5101, 8388602, F5, 13) (dual of [8388602, 8388501, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(5101, large, F5, 13) (dual of [large, large−101, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 520−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(5101, large, F5, 13) (dual of [large, large−101, 14]-code), using
- OOA 2-folding [i] based on linear OA(5101, 8388602, F5, 13) (dual of [8388602, 8388501, 14]-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(5112, 4194334, F5, 2, 13) (dual of [(4194334, 2), 8388556, 14]-NRT-code) | [i] | OOA Duplication | |