Information on Result #1117508
Linear OOA(3160, 1677834, F3, 5, 14) (dual of [(1677834, 5), 8389010, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(324, 114, F3, 5, 7) (dual of [(114, 5), 546, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (17, 24, 114)-net over F3, using
- trace code for nets [i] based on digital (1, 8, 38)-net over F27, using
- net from sequence [i] based on digital (1, 37)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- net from sequence [i] based on digital (1, 37)-sequence over F27, using
- trace code for nets [i] based on digital (1, 8, 38)-net over F27, using
- extracting embedded OOA [i] based on digital (17, 24, 114)-net over F3, using
- linear OOA(3136, 1677720, F3, 5, 14) (dual of [(1677720, 5), 8388464, 15]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3136, 8388600, F3, 14) (dual of [8388600, 8388464, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- OOA 5-folding [i] based on linear OA(3136, 8388600, F3, 14) (dual of [8388600, 8388464, 15]-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(3249, 5033502, F3, 5, 14) (dual of [(5033502, 5), 25167261, 15]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |