Information on Result #1836716
OOA(9143, 19730, S9, 3, 27), using (u, u+v)-construction based on
- OOA(923, 48, S9, 3, 13), using
- extracting embedded OOA [i] based on (10, 23, 48)-net in base 9, using
- 1 times m-reduction [i] based on (10, 24, 48)-net in base 9, using
- base change [i] based on digital (2, 16, 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
- base change [i] based on digital (2, 16, 48)-net over F27, using
- 1 times m-reduction [i] based on (10, 24, 48)-net in base 9, using
- extracting embedded OOA [i] based on (10, 23, 48)-net in base 9, using
- linear OOA(9120, 19682, F9, 3, 27) (dual of [(19682, 3), 58926, 28]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9120, 59046, F9, 27) (dual of [59046, 58926, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(9120, 59048, F9, 27) (dual of [59048, 58928, 28]-code), using
- 1 times truncation [i] based on linear OA(9121, 59049, F9, 28) (dual of [59049, 58928, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- 1 times truncation [i] based on linear OA(9121, 59049, F9, 28) (dual of [59049, 58928, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(9120, 59048, F9, 27) (dual of [59048, 58928, 28]-code), using
- OOA 3-folding [i] based on linear OA(9120, 59046, F9, 27) (dual of [59046, 58926, 28]-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.