Information on Result #1832189
OOA(32101, 4194430, S32, 2, 19), using (u, u+v)-construction based on
- OOA(3213, 129, S32, 2, 9), using
- extracting embedded OOA [i] based on (4, 13, 129)-net in base 32, using
- 1 times m-reduction [i] based on (4, 14, 129)-net in base 32, using
- base change [i] based on digital (0, 10, 129)-net over F128, using
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 0 and N(F) ≥ 129, using
- the rational function field F128(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- base change [i] based on digital (0, 10, 129)-net over F128, using
- 1 times m-reduction [i] based on (4, 14, 129)-net in base 32, using
- extracting embedded OOA [i] based on (4, 13, 129)-net in base 32, using
- OOA(3288, 4194301, S32, 2, 19), using
- OOA 2-folding [i] based on OA(3288, 8388602, S32, 19), using
- discarding factors based on OA(3288, large, S32, 19), using
- discarding parts of the base [i] based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding parts of the base [i] based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- discarding factors based on OA(3288, large, S32, 19), using
- OOA 2-folding [i] based on OA(3288, 8388602, S32, 19), using
Mode: Constructive.
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
None.