Information on Result #1832032
OOA(3263, 4194381, S32, 2, 12), using (u, u+v)-construction based on
- OOA(329, 80, S32, 2, 6), using
- extracting embedded OOA [i] based on (3, 9, 80)-net in base 32, using
- 3 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
- 3 times m-reduction [i] based on (3, 12, 80)-net in base 32, using
- extracting embedded OOA [i] based on (3, 9, 80)-net in base 32, using
- OOA(3254, 4194301, S32, 2, 12), using
- OOA 2-folding [i] based on OA(3254, 8388602, S32, 12), using
- discarding factors based on OA(3254, large, S32, 12), using
- discarding parts of the base [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding parts of the base [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- discarding factors based on OA(3254, large, S32, 12), using
- OOA 2-folding [i] based on OA(3254, 8388602, S32, 12), 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.