Information on Result #1010916
Linear OOA(3216, 2796529, F3, 3, 18) (dual of [(2796529, 3), 8389371, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(336, 328, F3, 3, 9) (dual of [(328, 3), 948, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 36, 328)-net over F3, using
- trace code for nets [i] based on digital (0, 9, 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, 9, 82)-net over F81, using
- extracting embedded OOA [i] based on digital (27, 36, 328)-net over F3, using
- linear OOA(3180, 2796201, F3, 3, 18) (dual of [(2796201, 3), 8388423, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-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(3219, 2796530, F3, 3, 18) (dual of [(2796530, 3), 8389371, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3218, 2796529, F3, 3, 18) (dual of [(2796529, 3), 8389369, 19]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3216, 932176, F3, 21, 18) (dual of [(932176, 21), 19575480, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |