Information on Result #1832121
OOA(3286, 4194430, S32, 2, 16), using (u, u+v)-construction based on
- OOA(3212, 129, S32, 2, 8), using
- extracting embedded OOA [i] based on (4, 12, 129)-net in base 32, using
- 2 times m-reduction [i] based on (4, 14, 129)-net in base 32, using
- base change [i] based on digital (0, 10, 129)-net over F128, using
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 0 and N(F) ≥ 129, using
- the rational function field F128(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- base change [i] based on digital (0, 10, 129)-net over F128, using
- 2 times m-reduction [i] based on (4, 14, 129)-net in base 32, using
- extracting embedded OOA [i] based on (4, 12, 129)-net in base 32, using
- OOA(3274, 4194301, S32, 2, 16), using
- OOA 2-folding [i] based on OA(3274, 8388602, S32, 16), using
- discarding factors based on OA(3274, large, S32, 16), using
- discarding parts of the base [i] based on linear OA(6461, large, F64, 16) (dual of [large, large−61, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding parts of the base [i] based on linear OA(6461, large, F64, 16) (dual of [large, large−61, 17]-code), using
- discarding factors based on OA(3274, large, S32, 16), using
- OOA 2-folding [i] based on OA(3274, 8388602, S32, 16), 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.