Information on Result #1832145
OOA(3289, 4194381, S32, 2, 17), using (u, u+v)-construction based on
- OOA(3211, 80, S32, 2, 8), using
- extracting embedded OOA [i] based on (3, 11, 80)-net in base 32, using
- 1 times m-reduction [i] based on (3, 12, 80)-net in base 32, using
- base change [i] based on digital (1, 10, 80)-net over F64, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- base change [i] based on digital (1, 10, 80)-net over F64, using
- 1 times m-reduction [i] based on (3, 12, 80)-net in base 32, using
- extracting embedded OOA [i] based on (3, 11, 80)-net in base 32, using
- OOA(3278, 4194301, S32, 2, 17), using
- OOA 2-folding [i] based on OA(3278, 8388602, S32, 17), using
- discarding factors based on OA(3278, large, S32, 17), using
- discarding parts of the base [i] based on linear OA(6465, large, F64, 17) (dual of [large, large−65, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding parts of the base [i] based on linear OA(6465, large, F64, 17) (dual of [large, large−65, 18]-code), using
- discarding factors based on OA(3278, large, S32, 17), using
- OOA 2-folding [i] based on OA(3278, 8388602, S32, 17), 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.