MinT - Information on Result #1186060

Information on Result #1186060

Digital (85, 94, 2271912)-net over F₄, using net defined by OOA based on linear OOA(4⁹⁴, 2271912, F₄, 10, 9) (dual of [(2271912, 10), 22719026, 10]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(4⁹⁴, 4543825, F₄, 2, 9) (dual of [(4543825, 2), 9087556, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁹⁴, 4543826, F₄, 2, 9) (dual of [(4543826, 2), 9087558, 10]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(4²¹, 349525, F₄, 2, 4) (dual of [(349525, 2), 699029, 5]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(4²¹, 699050, F₄, 4) (dual of [699050, 699029, 5]-code), using
        discarding factors / shortening the dual code based on linear OA(4²¹, 699051, F₄, 4) (dual of [699051, 699030, 5]-code), using
        quaternary constacyclic codes with minimum distance 5 [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.