MinT - Information on Result #1721370

Information on Result #1721370

Digital (220, 260, 9075)-net over F₄, using net defined by OOA based on linear OOA(4²⁶⁰, 9075, F₄, 45, 40) (dual of [(9075, 45), 408115, 41]-NRT-code), using

OOA 7-folding and stacking with additional row [i] based on linear OOA(4²⁶⁰, 63526, F₄, 3, 40) (dual of [(63526, 3), 190318, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²⁶⁰, 63531, F₄, 3, 40) (dual of [(63531, 3), 190333, 41]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(4²⁶⁰, 63531, F₄, 40) (dual of [63531, 63271, 41]-code), using
    - discarding factors / shortening the dual code based on linear OA(4²⁶⁰, 65557, F₄, 40) (dual of [65557, 65297, 41]-code), using
      - (u,Â u+v)-construction [i] based on
        linear OA(4²⁰, 21, F₄, 20) (dual of [21, 1, 21]-code or 21-arc in PG(19,4)), using
        dual of repetition code with length 21 [i]
        linear OA(4²⁴⁰, 65536, F₄, 40) (dual of [65536, 65296, 41]-code), using
        1 times truncation [i] based on linear OA(4²⁴¹, 65537, F₄, 41) (dual of [65537, 65296, 42]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 65537Â | 4¹⁶âˆ’1, defining interval IÂ =Â [0,20], and minimum distance dÂ â‰¥ |{−20,−19,…,20}|+1Â =Â 42 (BCH-bound) [i]

Mode: 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.