MinT - Information on Result #3197775

Information on Result #3197775

Digital (152, 156, large)-net over F₃, using t-expansion based on digital (148, 156, large)-net over F₃, using

trace code for nets [i] based on digital (44, 52, 4194300)-net over F₂₇, using
- net defined by OOA [i] based on linear OOA(27⁵², 4194300, F₂₇, 10, 8) (dual of [(4194300, 10), 41942948, 9]-NRT-code), using
  - OOA 2-folding and stacking with additional row [i] based on linear OOA(27⁵², 8388601, F₂₇, 2, 8) (dual of [(8388601, 2), 16777150, 9]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(27⁵², 8388602, F₂₇, 2, 8) (dual of [(8388602, 2), 16777152, 9]-NRT-code), using
      - (u,Â u+v)-construction [i] based on
        linear OOA(27¹⁶, 4194301, F₂₇, 2, 4) (dual of [(4194301, 2), 8388586, 5]-NRT-code), using
        OOA 2-folding [i] based on linear OA(27¹⁶, 8388602, F₂₇, 4) (dual of [8388602, 8388586, 5]-code), using
        discarding factors / shortening the dual code based on linear OA(27¹⁶, large, F₂₇, 4) (dual of [large, large−16, 5]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 27⁵âˆ’1, defining interval IÂ =Â [0,3], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [i]
        linear OOA(27³⁶, 4194301, F₂₇, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using
        OOA 2-folding [i] based on linear OA(27³⁶, 8388602, F₂₇, 8) (dual of [8388602, 8388566, 9]-code), using
        discarding factors / shortening the dual code based on linear OA(27³⁶, large, F₂₇, 8) (dual of [large, large−36, 9]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 27⁵âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]

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

The following results depend on this result:

	Result		Method
1	Digital (153, 157, large)-net over F₃	[i]	Net Duplication
2	Digital (154, 158, large)-net over F₃	[i]
3	Digital (155, 159, large)-net over F₃	[i]
4	Digital (156, 160, large)-net over F₃	[i]
5	Digital (157, 161, large)-net over F₃	[i]
6	Digital (158, 162, large)-net over F₃	[i]
7	Digital (159, 163, large)-net over F₃	[i]
8	Digital (160, 164, large)-net over F₃	[i]
9	Digital (161, 165, large)-net over F₃	[i]