Information on Result #1192142
Digital (136, 154, 1864145)-net over F8, using net defined by OOA based on linear OOA(8154, 1864145, F8, 21, 18) (dual of [(1864145, 21), 39146891, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8154, 5592436, F8, 3, 18) (dual of [(5592436, 3), 16777154, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8154, 5592438, F8, 3, 18) (dual of [(5592438, 3), 16777160, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(816, 36, F8, 3, 9) (dual of [(36, 3), 92, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 16, 36)-net over F8, using
- 1 times m-reduction [i] based on digital (7, 17, 36)-net over F8, using
- extracting embedded OOA [i] based on digital (7, 16, 36)-net over F8, using
- linear OOA(8138, 5592402, F8, 3, 18) (dual of [(5592402, 3), 16777068, 19]-NRT-code), using
- trace code [i] based on linear OOA(6469, 2796201, F64, 3, 18) (dual of [(2796201, 3), 8388534, 19]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- trace code [i] based on linear OOA(6469, 2796201, F64, 3, 18) (dual of [(2796201, 3), 8388534, 19]-NRT-code), using
- linear OOA(816, 36, F8, 3, 9) (dual of [(36, 3), 92, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(8154, 5592438, F8, 3, 18) (dual of [(5592438, 3), 16777160, 19]-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.