MinT - Information on Result #1713498

Information on Result #1713498

Digital (144, 159, 2097154)-net over F₃, using net defined by OOA based on linear OOA(3¹⁵⁹, 2097154, F₃, 20, 15) (dual of [(2097154, 20), 41942921, 16]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3¹⁵⁹, 4194309, F₃, 4, 15) (dual of [(4194309, 4), 16777077, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁵⁹, 4194310, F₃, 4, 15) (dual of [(4194310, 4), 16777081, 16]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3¹⁵⁹, 4194310, F₃, 2, 15) (dual of [(4194310, 2), 8388461, 16]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(3⁹, 9, F₃, 2, 7) (dual of [(9, 2), 9, 8]-NRT-code), using
        extracting embedded OOA [i] based on digital (2, 9, 9)-net over F₃, using
        a shift-net [i]
      2. linear OOA(3¹⁵⁰, 4194301, F₃, 2, 15) (dual of [(4194301, 2), 8388452, 16]-NRT-code), using
        OOA 2-folding [i] based on linear OA(3¹⁵⁰, 8388602, F₃, 15) (dual of [8388602, 8388452, 16]-code), using
        discarding factors / shortening the dual code based on linear OA(3¹⁵⁰, large, F₃, 15) (dual of [large, large−150, 16]-code), using
        the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [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.