Information on Result #1836572
OOA(8124, 5592660, S8, 3, 14), using (u, u+v)-construction based on
- OOA(818, 258, S8, 3, 7), using
- extracting embedded OOA [i] based on (11, 18, 258)-net in base 8, using
- trace code for nets [i] based on (2, 9, 129)-net in base 64, using
- 5 times m-reduction [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
- 5 times m-reduction [i] based on (2, 14, 129)-net in base 64, using
- trace code for nets [i] based on (2, 9, 129)-net in base 64, using
- extracting embedded OOA [i] based on (11, 18, 258)-net in base 8, using
- linear OOA(8106, 5592402, F8, 3, 14) (dual of [(5592402, 3), 16777100, 15]-NRT-code), using
- trace code [i] based on linear OOA(6453, 2796201, F64, 3, 14) (dual of [(2796201, 3), 8388550, 15]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6453, large, F64, 14) (dual of [large, large−53, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- OOA 3-folding [i] based on linear OA(6453, large, F64, 14) (dual of [large, large−53, 15]-code), using
- trace code [i] based on linear OOA(6453, 2796201, F64, 3, 14) (dual of [(2796201, 3), 8388550, 15]-NRT-code), 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.