Information on Result #2523687
OOA(4260, 4194689, S4, 2, 24), using 1 times NRT-code embedding in larger space based on OOA(4258, 4194688, S4, 2, 24), using
- (u, u+v)-construction [i] based on
- OOA(442, 387, S4, 2, 12), using
- extracting embedded OOA [i] based on (30, 42, 387)-net in base 4, using
- trace code for nets [i] based on (2, 14, 129)-net in base 64, using
- base change [i] based on digital (0, 12, 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, 12, 129)-net over F128, using
- trace code for nets [i] based on (2, 14, 129)-net in base 64, using
- extracting embedded OOA [i] based on (30, 42, 387)-net in base 4, using
- linear OOA(4216, 4194301, F4, 2, 24) (dual of [(4194301, 2), 8388386, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4216, 8388602, F4, 24) (dual of [8388602, 8388386, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(4216, large, F4, 24) (dual of [large, large−216, 25]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- discarding factors / shortening the dual code based on linear OA(4216, large, F4, 24) (dual of [large, large−216, 25]-code), using
- OOA 2-folding [i] based on linear OA(4216, 8388602, F4, 24) (dual of [8388602, 8388386, 25]-code), using
- OOA(442, 387, S4, 2, 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.