MinT - Information on Result #1186032

Information on Result #1186032

Digital (69, 78, 2097155)-net over F₄, using net defined by OOA based on linear OOA(4⁷⁸, 2097155, F₄, 10, 9) (dual of [(2097155, 10), 20971472, 10]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(4⁷⁸, 4194311, F₄, 2, 9) (dual of [(4194311, 2), 8388544, 10]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(4⁵, 10, F₄, 2, 4) (dual of [(10, 2), 15, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (1, 5, 10)-net over F₄, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(4⁷³, 4194301, F₄, 2, 9) (dual of [(4194301, 2), 8388529, 10]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(4⁷³, 8388602, F₄, 9) (dual of [8388602, 8388529, 10]-code), using
      - discarding factors / shortening the dual code based on linear OA(4⁷³, large, F₄, 9) (dual of [large, large−73, 10]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 4²⁴âˆ’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

None.