Information on Result #1843502
(86, 110, 174795)-net in base 32, using (u, u+v)-construction based on
- digital (0, 12, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 0 and N(F) ≥ 33, using
- the rational function field F32(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 32)-sequence over F32, using
- (74, 98, 174762)-net in base 32, using
- base change [i] based on digital (46, 70, 174762)-net over F128, using
- net defined by OOA [i] based on linear OOA(12870, 174762, F128, 24, 24) (dual of [(174762, 24), 4194218, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(12870, 2097144, F128, 24) (dual of [2097144, 2097074, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(12870, 2097152, F128, 24) (dual of [2097152, 2097082, 25]-code), using
- an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- discarding factors / shortening the dual code based on linear OA(12870, 2097152, F128, 24) (dual of [2097152, 2097082, 25]-code), using
- OA 12-folding and stacking [i] based on linear OA(12870, 2097144, F128, 24) (dual of [2097144, 2097074, 25]-code), using
- net defined by OOA [i] based on linear OOA(12870, 174762, F128, 24, 24) (dual of [(174762, 24), 4194218, 25]-NRT-code), using
- base change [i] based on digital (46, 70, 174762)-net over F128, using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.