MinT - Information on Result #1713334

Information on Result #1713334

Digital (142, 156, 2097190)-net over F₃, using net defined by OOA based on linear OOA(3¹⁵⁶, 2097190, F₃, 20, 14) (dual of [(2097190, 20), 41943644, 15]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3¹⁵⁶, 4194381, F₃, 4, 14) (dual of [(4194381, 4), 16777368, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁵⁶, 4194382, F₃, 4, 14) (dual of [(4194382, 4), 16777372, 15]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3¹⁵⁶, 4194382, F₃, 2, 14) (dual of [(4194382, 2), 8388608, 15]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(3²⁰, 81, F₃, 2, 7) (dual of [(81, 2), 142, 8]-NRT-code), using
        embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(3²⁰, 81, F₃, 7) (dual of [81, 61, 8]-code), using
        discarding factors / shortening the dual code based on linear OA(3²⁰, 121, F₃, 7) (dual of [121, 101, 8]-code), using
        the BCH-code C(I) with length 121Â | 3⁵âˆ’1, defining interval IÂ =Â {−3,−1,1,…,9}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 8 [i]
      2. linear OOA(3¹³⁶, 4194301, F₃, 2, 14) (dual of [(4194301, 2), 8388466, 15]-NRT-code), using
        OOA 2-folding [i] based on linear OA(3¹³⁶, 8388602, F₃, 14) (dual of [8388602, 8388466, 15]-code), using
        discarding factors / shortening the dual code based on linear OA(3¹³⁶, large, F₃, 14) (dual of [large, large−136, 15]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [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.