Information on Result #1010911
Linear OOA(3206, 2796261, F3, 3, 18) (dual of [(2796261, 3), 8388577, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(326, 60, F3, 3, 9) (dual of [(60, 3), 154, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (17, 26, 60)-net over F3, using
- trace code for nets [i] based on digital (4, 13, 30)-net over F9, using
- net from sequence [i] based on digital (4, 29)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- net from sequence [i] based on digital (4, 29)-sequence over F9, using
- trace code for nets [i] based on digital (4, 13, 30)-net over F9, using
- extracting embedded OOA [i] based on digital (17, 26, 60)-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(3206, 932086, F3, 21, 18) (dual of [(932086, 21), 19573600, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |