Information on Result #1117709
Linear OOA(3174, 1677724, F3, 5, 17) (dual of [(1677724, 5), 8388446, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(38, 4, F3, 5, 8) (dual of [(4, 5), 12, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;12,3) [i]
- linear OOA(3166, 1677720, F3, 5, 17) (dual of [(1677720, 5), 8388434, 18]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3166, 8388600, F3, 17) (dual of [8388600, 8388434, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- OOA 5-folding [i] based on linear OA(3166, 8388600, F3, 17) (dual of [8388600, 8388434, 18]-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(3250, 3355448, F3, 5, 17) (dual of [(3355448, 5), 16776990, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |