MinT - Information on Result #1716770

Information on Result #1716770

Digital (195, 230, 3358)-net over F₃, using net defined by OOA based on linear OOA(3²³⁰, 3358, F₃, 45, 35) (dual of [(3358, 45), 150880, 36]-NRT-code), using

OOA 4-folding and stacking with additional row [i] based on linear OOA(3²³⁰, 13433, F₃, 5, 35) (dual of [(13433, 5), 66935, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²³⁰, 13435, F₃, 5, 35) (dual of [(13435, 5), 66945, 36]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(3²³⁰, 13435, F₃, 35) (dual of [13435, 13205, 36]-code), using
    - discarding factors / shortening the dual code based on linear OA(3²³⁰, 19707, F₃, 35) (dual of [19707, 19477, 36]-code), using
      - (u,Â u+v)-construction [i] based on
        linear OA(3²², 24, F₃, 17) (dual of [24, 2, 18]-code), using
        repeating each code word 6 times [i] based on linear OA(3², 4, F₃, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
        extended Reedâ€“Solomon code RS_e(2,3) [i]
        Hamming code H(2,3) [i]
        Simplex code S(2,3) [i]
        the Tetracode [i]
        linear OA(3²⁰⁸, 19683, F₃, 35) (dual of [19683, 19475, 36]-code), using
        an extension C_e(34) of the primitive narrow-sense BCH-code C(I) with length 19682Â = 3⁹âˆ’1, defining interval IÂ =Â [1,34], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 35 [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.