MinT - Information on Result #1217210

Information on Result #1217210

Digital (56, 64, 4194336)-net over F₉, using (u,Â u+v)-construction based on

digital (2, 6, 36)-net over F₉, using
- net defined by OOA [i] based on linear OOA(9⁶, 36, F₉, 4, 4) (dual of [(36, 4), 138, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(9⁶, 36, F₉, 3, 4) (dual of [(36, 3), 102, 5]-NRT-code), using
    - OA 2-folding and stacking [i] based on linear OA(9⁶, 72, F₉, 4) (dual of [72, 66, 5]-code), using
      - 1 times truncation [i] based on linear OA(9⁷, 73, F₉, 5) (dual of [73, 66, 6]-code), using
        a code by Danev and Olsson [i]
digital (50, 58, 4194300)-net over F₉, using
- net defined by OOA [i] based on linear OOA(9⁵⁸, 4194300, F₉, 10, 8) (dual of [(4194300, 10), 41942942, 9]-NRT-code), using
  - OOA 2-folding and stacking with additional row [i] based on linear OOA(9⁵⁸, 8388601, F₉, 2, 8) (dual of [(8388601, 2), 16777144, 9]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(9⁵⁸, 8388602, F₉, 2, 8) (dual of [(8388602, 2), 16777146, 9]-NRT-code), using
      - trace code [i] based on linear OOA(81²⁹, 4194301, F₈₁, 2, 8) (dual of [(4194301, 2), 8388573, 9]-NRT-code), using
        OOA 2-folding [i] based on linear OA(81²⁹, 8388602, F₈₁, 8) (dual of [8388602, 8388573, 9]-code), using
        discarding factors / shortening the dual code based on linear OA(81²⁹, large, F₈₁, 8) (dual of [large, large−29, 9]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 81⁴âˆ’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.