Information on Result #1010914
Linear OOA(3213, 2796345, F3, 3, 18) (dual of [(2796345, 3), 8388822, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(333, 144, F3, 3, 9) (dual of [(144, 3), 399, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (24, 33, 144)-net over F3, using
- trace code for nets [i] based on digital (2, 11, 48)-net over F27, using
- net from sequence [i] based on digital (2, 47)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- net from sequence [i] based on digital (2, 47)-sequence over F27, using
- trace code for nets [i] based on digital (2, 11, 48)-net over F27, using
- extracting embedded OOA [i] based on digital (24, 33, 144)-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(3213, 932114, F3, 21, 18) (dual of [(932114, 21), 19574181, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |