MinT - Information on Result #1713900

Information on Result #1713900

Digital (174, 191, 2097208)-net over F₃, using net defined by OOA based on linear OOA(3¹⁹¹, 2097208, F₃, 20, 17) (dual of [(2097208, 20), 41943969, 18]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3¹⁹¹, 4194417, F₃, 4, 17) (dual of [(4194417, 4), 16777477, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁹¹, 4194418, F₃, 4, 17) (dual of [(4194418, 4), 16777481, 18]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3¹⁹¹, 4194418, F₃, 2, 17) (dual of [(4194418, 2), 8388645, 18]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(3²⁵, 117, F₃, 2, 8) (dual of [(117, 2), 209, 9]-NRT-code), using
        embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(3²⁵, 117, F₃, 8) (dual of [117, 92, 9]-code), using
        discarding factors / shortening the dual code based on linear OA(3²⁵, 121, F₃, 8) (dual of [121, 96, 9]-code), using
        the BCH-code C(I) with length 121Â | 3⁵âˆ’1, defining interval IÂ =Â {1,3,5,…,15}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]
      2. linear OOA(3¹⁶⁶, 4194301, F₃, 2, 17) (dual of [(4194301, 2), 8388436, 18]-NRT-code), using
        OOA 2-folding [i] based on linear OA(3¹⁶⁶, 8388602, F₃, 17) (dual of [8388602, 8388436, 18]-code), using
        discarding factors / shortening the dual code based on linear OA(3¹⁶⁶, large, F₃, 17) (dual of [large, large−166, 18]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18 [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.