Information on Result #3178134
Digital (27, 32, large)-net over F64, using 1 times m-reduction based on digital (27, 33, large)-net over F64, using
- generalized (u, u+v)-construction [i] based on
- digital (3, 5, 2796201)-net over F64, using
- s-reduction based on digital (3, 5, large)-net over F64, using
- digital (4, 7, 2796201)-net over F64, using
- s-reduction based on digital (4, 7, large)-net over F64, using
- net defined by OOA [i] based on linear OOA(647, large, F64, 3, 3), using
- appending kth column [i] based on linear OOA(647, large, F64, 2, 3), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(647, large, F64, 3) (dual of [large, large−7, 4]-code), using
- appending kth column [i] based on linear OOA(647, large, F64, 2, 3), using
- net defined by OOA [i] based on linear OOA(647, large, F64, 3, 3), using
- s-reduction based on digital (4, 7, large)-net over F64, using
- digital (15, 21, 2796201)-net over F64, using
- net defined by OOA [i] based on linear OOA(6421, 2796201, F64, 6, 6) (dual of [(2796201, 6), 16777185, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(6421, large, F64, 6) (dual of [large, large−21, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(6421, large, F64, 6) (dual of [large, large−21, 7]-code), using
- net defined by OOA [i] based on linear OOA(6421, 2796201, F64, 6, 6) (dual of [(2796201, 6), 16777185, 7]-NRT-code), using
- digital (3, 5, 2796201)-net over F64, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.