Information on Result #1832098
OOA(3281, 4194558, S32, 2, 15), using (u, u+v)-construction based on
- OOA(3212, 257, S32, 2, 7), using
- extracting embedded OOA [i] based on (5, 12, 257)-net in base 32, using
- base change [i] based on (3, 10, 257)-net in base 64, using
- 2 times m-reduction [i] based on (3, 12, 257)-net in base 64, using
- base change [i] based on digital (0, 9, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- base change [i] based on digital (0, 9, 257)-net over F256, using
- 2 times m-reduction [i] based on (3, 12, 257)-net in base 64, using
- base change [i] based on (3, 10, 257)-net in base 64, using
- extracting embedded OOA [i] based on (5, 12, 257)-net in base 32, using
- OOA(3269, 4194301, S32, 2, 15), using
- OOA 2-folding [i] based on OA(3269, 8388602, S32, 15), using
- discarding factors based on OA(3269, large, S32, 15), using
- discarding parts of the base [i] based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding parts of the base [i] based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- discarding factors based on OA(3269, large, S32, 15), using
- OOA 2-folding [i] based on OA(3269, 8388602, S32, 15), 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.