Information on Result #1191330
Digital (74, 84, 2796265)-net over F8, using net defined by OOA based on linear OOA(884, 2796265, F8, 15, 10) (dual of [(2796265, 15), 41943891, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(884, 5592531, F8, 3, 10) (dual of [(5592531, 3), 16777509, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(884, 5592532, F8, 3, 10) (dual of [(5592532, 3), 16777512, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(810, 130, F8, 3, 5) (dual of [(130, 3), 380, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 10, 130)-net over F8, using
- trace code for nets [i] based on digital (0, 5, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- trace code for nets [i] based on digital (0, 5, 65)-net over F64, using
- extracting embedded OOA [i] based on digital (5, 10, 130)-net over F8, using
- linear OOA(874, 5592402, F8, 3, 10) (dual of [(5592402, 3), 16777132, 11]-NRT-code), using
- trace code [i] based on linear OOA(6437, 2796201, F64, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 3-folding [i] based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- trace code [i] based on linear OOA(6437, 2796201, F64, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
- linear OOA(810, 130, F8, 3, 5) (dual of [(130, 3), 380, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(884, 5592532, F8, 3, 10) (dual of [(5592532, 3), 16777512, 11]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.