Information on Result #1832167
OOA(3295, 4194381, S32, 2, 18), using (u, u+v)-construction based on
- OOA(3212, 80, S32, 2, 9), using
- extracting embedded OOA [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
- extracting embedded OOA [i] based on (3, 12, 80)-net in base 32, using
- OOA(3283, 4194301, S32, 2, 18), using
- OOA 2-folding [i] based on OA(3283, 8388602, S32, 18), using
- discarding factors based on OA(3283, large, S32, 18), using
- discarding parts of the base [i] based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding parts of the base [i] based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- discarding factors based on OA(3283, large, S32, 18), using
- OOA 2-folding [i] based on OA(3283, 8388602, S32, 18), 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.