Information on Result #1013213
Linear OOA(5109, 2796215, F5, 3, 13) (dual of [(2796215, 3), 8388536, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(58, 14, F5, 3, 6) (dual of [(14, 3), 34, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 8, 14)-net over F5, using
- linear OOA(5101, 2796201, F5, 3, 13) (dual of [(2796201, 3), 8388502, 14]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(5101, large, F5, 13) (dual of [large, large−101, 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(5150, 5592416, F5, 3, 13) (dual of [(5592416, 3), 16777098, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(5109, 1398107, F5, 15, 13) (dual of [(1398107, 15), 20971496, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |