Information on Result #1836707
OOA(996, 19721, S9, 3, 19), using (u, u+v)-construction based on
- OOA(915, 38, S9, 3, 9), using
- extracting embedded OOA [i] based on (6, 15, 38)-net in base 9, using
- base change [i] based on digital (1, 10, 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
- base change [i] based on digital (1, 10, 38)-net over F27, using
- extracting embedded OOA [i] based on (6, 15, 38)-net in base 9, using
- linear OOA(981, 19683, F9, 3, 19) (dual of [(19683, 3), 58968, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(981, 59049, F9, 19) (dual of [59049, 58968, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(981, 59049, F9, 19) (dual of [59049, 58968, 20]-code), using
Mode: Constructive.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.