MinT - Information on Result #1719792

Information on Result #1719792

Digital (214, 241, 646819)-net over F₄, using net defined by OOA based on linear OOA(4²⁴¹, 646819, F₄, 33, 27) (dual of [(646819, 33), 21344786, 28]-NRT-code), using

OOA 5-folding and stacking with additional row [i] based on linear OOA(4²⁴¹, 3234096, F₄, 3, 27) (dual of [(3234096, 3), 9702047, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²⁴¹, 3234097, F₄, 3, 27) (dual of [(3234097, 3), 9702050, 28]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(4²⁴¹, 3234097, F₄, 2, 27) (dual of [(3234097, 2), 6467953, 28]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(4²⁴¹, 4194301, F₄, 2, 27) (dual of [(4194301, 2), 8388361, 28]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(4²⁴¹, 8388602, F₄, 27) (dual of [8388602, 8388361, 28]-code), using
        discarding factors / shortening the dual code based on linear OA(4²⁴¹, large, F₄, 27) (dual of [large, large−241, 28]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 4²⁴âˆ’1, defining interval IÂ =Â [0,13], and minimum distance dÂ â‰¥ |{−13,−12,…,13}|+1Â =Â 28 (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.