MinT - Information on Result #1214400

Information on Result #1214400

Digital (70, 78, 4194321)-net over F₇, using (u,Â u+v)-construction based on

digital (2, 6, 21)-net over F₇, using
- net defined by OOA [i] based on linear OOA(7⁶, 21, F₇, 4, 4) (dual of [(21, 4), 78, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(7⁶, 21, F₇, 3, 4) (dual of [(21, 3), 57, 5]-NRT-code), using
    - OA 2-folding and stacking [i] based on linear OA(7⁶, 42, F₇, 4) (dual of [42, 36, 5]-code), using
      - 1 times truncation [i] based on linear OA(7⁷, 43, F₇, 5) (dual of [43, 36, 6]-code), using
        a code by Danev and Olsson [i]
digital (64, 72, 4194300)-net over F₇, using
- net defined by OOA [i] 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

None.