Information on Result #1215575
Digital (149, 167, 1865157)-net over F8, using (u, u+v)-construction based on
- digital (20, 29, 1023)-net over F8, using
- net defined by OOA [i] based on linear OOA(829, 1023, F8, 9, 9) (dual of [(1023, 9), 9178, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(829, 4093, F8, 9) (dual of [4093, 4064, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(829, 4096, F8, 9) (dual of [4096, 4067, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(829, 4096, F8, 9) (dual of [4096, 4067, 10]-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(829, 4093, F8, 9) (dual of [4093, 4064, 10]-code), using
- net defined by OOA [i] based on linear OOA(829, 1023, F8, 9, 9) (dual of [(1023, 9), 9178, 10]-NRT-code), using
- digital (120, 138, 1864134)-net over F8, using
- trace code for nets [i] based on digital (51, 69, 932067)-net over F64, using
- net defined by OOA [i] based on linear OOA(6469, 932067, F64, 18, 18) (dual of [(932067, 18), 16777137, 19]-NRT-code), using
- OA 9-folding and stacking [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]
- OA 9-folding and stacking [i] based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- net defined by OOA [i] based on linear OOA(6469, 932067, F64, 18, 18) (dual of [(932067, 18), 16777137, 19]-NRT-code), using
- trace code for nets [i] based on digital (51, 69, 932067)-net over F64, 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.