MinT - Information on Result #1189924

Information on Result #1189924

Digital (64, 72, 4194300)-net over F₇, using net defined by OOA based on linear OOA(7⁷², 4194300, F₇, 10, 8) (dual of [(4194300, 10), 41942928, 9]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(7⁷², 8388601, F₇, 2, 8) (dual of [(8388601, 2), 16777130, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7⁷², 8388602, F₇, 2, 8) (dual of [(8388602, 2), 16777132, 9]-NRT-code), using
  - trace code [i] based on linear OOA(49³⁶, 4194301, F₄₉, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(49³⁶, 8388602, F₄₉, 8) (dual of [8388602, 8388566, 9]-code), using
      - discarding factors / shortening the dual code based on linear OA(49³⁶, large, F₄₉, 8) (dual of [large, large−36, 9]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 25679568Â | 49⁵âˆ’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 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		Method
1	Digital (65, 73, 4194300)-net over F₇	[i]	Net Duplication
2	Digital (68, 76, 4194308)-net over F₇	[i]	(u,Â u+v)-Construction for Nets
3	Digital (69, 77, 4194313)-net over F₇	[i]
4	Digital (70, 78, 4194321)-net over F₇	[i]
5	Digital (71, 79, 4194350)-net over F₇	[i]
6	Digital (72, 80, 4194400)-net over F₇	[i]
7	Digital (74, 82, 4194474)-net over F₇	[i]