Information on Result #1832301
OOA(6489, 4194623, S64, 2, 19), 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(6473, 4194301, F64, 2, 19) (dual of [(4194301, 2), 8388529, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6473, 8388602, F64, 19) (dual of [8388602, 8388529, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- OOA 2-folding [i] based on linear OA(6473, 8388602, F64, 19) (dual of [8388602, 8388529, 20]-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.