Information on Result #1010753
Linear OOA(3157, 2796205, F3, 3, 15) (dual of [(2796205, 3), 8388458, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(37, 4, F3, 3, 7) (dual of [(4, 3), 5, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;5,3) [i]
- linear OOA(3150, 2796201, F3, 3, 15) (dual of [(2796201, 3), 8388453, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- OOA 3-folding [i] based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 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 | Linear OOA(3218, 5592406, F3, 3, 15) (dual of [(5592406, 3), 16777000, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3221, 5592410, F3, 3, 15) (dual of [(5592410, 3), 16777009, 16]-NRT-code) | [i] | ||