Information on Result #1832209
OOA(32110, 4194366, S32, 2, 21), using (u, u+v)-construction based on
- OOA(3212, 65, S32, 2, 10), using
- extracting embedded OOA [i] based on (2, 12, 65)-net in base 32, using
- base change [i] based on digital (0, 10, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- base change [i] based on digital (0, 10, 65)-net over F64, using
- extracting embedded OOA [i] based on (2, 12, 65)-net in base 32, using
- OOA(3298, 4194301, S32, 2, 21), using
- OOA 2-folding [i] based on OA(3298, 8388602, S32, 21), using
- discarding factors based on OA(3298, large, S32, 21), using
- discarding parts of the base [i] based on linear OA(6481, large, F64, 21) (dual of [large, large−81, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- discarding parts of the base [i] based on linear OA(6481, large, F64, 21) (dual of [large, large−81, 22]-code), using
- discarding factors based on OA(3298, large, S32, 21), using
- OOA 2-folding [i] based on OA(3298, 8388602, S32, 21), 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OOA(32110, 838873, S32, 22, 21) | [i] | OOA Folding and Stacking with Additional Row | |