Information on Result #1832294
OOA(6485, 4194623, S64, 2, 18), using (u, u+v)-construction based on
- OOA(6416, 322, S64, 2, 9), using
- (u, u+v)-construction [i] based on
- linear OOA(644, 65, F64, 2, 4) (dual of [(65, 2), 126, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;126,64) [i]
- OOA(6412, 257, S64, 2, 9), using
- extracting embedded OOA [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
- extracting embedded OOA [i] based on (3, 12, 257)-net in base 64, using
- linear OOA(644, 65, F64, 2, 4) (dual of [(65, 2), 126, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6469, 4194301, F64, 2, 18) (dual of [(4194301, 2), 8388533, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6469, 8388602, F64, 18) (dual of [8388602, 8388533, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- OOA 2-folding [i] based on linear OA(6469, 8388602, F64, 18) (dual of [8388602, 8388533, 19]-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.