MinT - Information on Result #1183494

Information on Result #1183494

Digital (116, 127, 1678773)-net over F₃, using net defined by OOA based on linear OOA(3¹²⁷, 1678773, F₃, 15, 11) (dual of [(1678773, 15), 25181468, 12]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(3¹²⁷, 1678774, F₃, 5, 11) (dual of [(1678774, 5), 8393743, 12]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3²¹, 1054, F₃, 5, 5) (dual of [(1054, 5), 5249, 6]-NRT-code), using
    - OOA 2-folding and stacking with additional row [i] based on linear OA(3²¹, 2109, F₃, 5) (dual of [2109, 2088, 6]-code), using
      - trace code [i] based on linear OA(27⁷, 703, F₂₇, 5) (dual of [703, 696, 6]-code), using
        a code by Danev and Olsson [i]
  2. linear OOA(3¹⁰⁶, 1677720, F₃, 5, 11) (dual of [(1677720, 5), 8388494, 12]-NRT-code), using
    - OOA 5-folding [i] based on linear OA(3¹⁰⁶, 8388600, F₃, 11) (dual of [8388600, 8388494, 12]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹⁰⁶, large, F₃, 11) (dual of [large, large−106, 12]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [i]

Mode: Constructive and 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.