Information on Result #1016327
Linear OOA(9146, 5592566, F9, 3, 17) (dual of [(5592566, 3), 16777552, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(916, 164, F9, 3, 8) (dual of [(164, 3), 476, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 16, 164)-net over F9, using
- trace code for nets [i] based on digital (0, 8, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- trace code for nets [i] based on digital (0, 8, 82)-net over F81, using
- extracting embedded OOA [i] based on digital (8, 16, 164)-net over F9, using
- linear OOA(9130, 5592402, F9, 3, 17) (dual of [(5592402, 3), 16777076, 18]-NRT-code), using
- trace code [i] based on linear OOA(8165, 2796201, F81, 3, 17) (dual of [(2796201, 3), 8388538, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8165, large, F81, 17) (dual of [large, large−65, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(8165, large, F81, 17) (dual of [large, large−65, 18]-code), using
- trace code [i] based on linear OOA(8165, 2796201, F81, 3, 17) (dual of [(2796201, 3), 8388538, 18]-NRT-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(9147, 5592566, F9, 3, 17) (dual of [(5592566, 3), 16777551, 18]-NRT-code) | [i] | OOA Duplication | |