MinT - Information on Result #1205068

Information on Result #1205068

Digital (123, 132, 8388600)-net over F₃, using trace code for nets based on digital (57, 66, 4194300)-net over F₉, using

net defined by OOA [i] based on linear OOA(9⁶⁶, 4194300, F₉, 10, 9) (dual of [(4194300, 10), 41942934, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(9⁶⁶, 8388601, F₉, 2, 9) (dual of [(8388601, 2), 16777136, 10]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(9⁶⁶, 8388602, F₉, 2, 9) (dual of [(8388602, 2), 16777138, 10]-NRT-code), using
    - trace code [i] based on linear OOA(81³³, 4194301, F₈₁, 2, 9) (dual of [(4194301, 2), 8388569, 10]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(81³³, 8388602, F₈₁, 9) (dual of [8388602, 8388569, 10]-code), using
        discarding factors / shortening the dual code based on linear OA(81³³, large, F₈₁, 9) (dual of [large, large−33, 10]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523361Â | 81⁸âˆ’1, defining interval IÂ =Â [0,4], and minimum distance dÂ â‰¥ |{−4,−3,…,4}|+1Â =Â 10 (BCH-bound) [i]

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

The following results depend on this result:

	Result		This result only	Method
1	Digital (124, 133, 8388600)-net over F₃	[i]		Net Duplication
2	Digital (125, 134, 8388600)-net over F₃	[i]
3	Digital (126, 135, 8388600)-net over F₃	[i]
4	Digital (127, 136, large)-net over F₃	[i]		(u,Â u+v)-Construction for Nets
5	Linear OOA(3¹³², 8388600, F₃, 5, 9) (dual of [(8388600, 5), 41942868, 10]-NRT-code)	[i]		Extracting Embedded OOA