MinT - Information on Result #1714588

Information on Result #1714588

Digital (206, 226, 2097197)-net over F₃, using net defined by OOA based on linear OOA(3²²⁶, 2097197, F₃, 25, 20) (dual of [(2097197, 25), 52429699, 21]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3²²⁶, 4194395, F₃, 5, 20) (dual of [(4194395, 5), 20971749, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²²⁶, 4194396, F₃, 5, 20) (dual of [(4194396, 5), 20971754, 21]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3²²⁶, 4194396, F₃, 2, 20) (dual of [(4194396, 2), 8388566, 21]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(3³⁰, 95, F₃, 2, 10) (dual of [(95, 2), 160, 11]-NRT-code), using
        embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(3³⁰, 95, F₃, 10) (dual of [95, 65, 11]-code), using
        discarding factors / shortening the dual code based on linear OA(3³⁰, 121, F₃, 10) (dual of [121, 91, 11]-code), using
        the BCH-code C(I) with length 121Â | 3⁵âˆ’1, defining interval IÂ =Â {1,17,33,…,24}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]
      2. linear OOA(3¹⁹⁶, 4194301, F₃, 2, 20) (dual of [(4194301, 2), 8388406, 21]-NRT-code), using
        OOA 2-folding [i] based on linear OA(3¹⁹⁶, 8388602, F₃, 20) (dual of [8388602, 8388406, 21]-code), using
        discarding factors / shortening the dual code based on linear OA(3¹⁹⁶, large, F₃, 20) (dual of [large, large−196, 21]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,19], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [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.