Information on Result #1010619
Linear OOA(3136, 2796247, F3, 3, 12) (dual of [(2796247, 3), 8388605, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(316, 46, F3, 3, 6) (dual of [(46, 3), 122, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(33, 4, F3, 3, 3) (dual of [(4, 3), 9, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;9,3) [i]
- linear OOA(313, 42, F3, 3, 6) (dual of [(42, 3), 113, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 13, 42)-net over F3, using
- linear OOA(33, 4, F3, 3, 3) (dual of [(4, 3), 9, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3120, 2796201, F3, 3, 12) (dual of [(2796201, 3), 8388483, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-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(3136, 1398123, F3, 15, 12) (dual of [(1398123, 15), 20971709, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |