MinT - Information on Result #1713316

Information on Result #1713316

Digital (132, 146, 2097155)-net over F₃, using net defined by OOA based on linear OOA(3¹⁴⁶, 2097155, F₃, 20, 14) (dual of [(2097155, 20), 41942954, 15]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3¹⁴⁶, 4194311, F₃, 4, 14) (dual of [(4194311, 4), 16777098, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁴⁶, 4194312, F₃, 4, 14) (dual of [(4194312, 4), 16777102, 15]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3¹⁴⁶, 4194312, F₃, 2, 14) (dual of [(4194312, 2), 8388478, 15]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(3¹⁰, 11, F₃, 2, 7) (dual of [(11, 2), 12, 8]-NRT-code), using
        extracting embedded OOA [i] based on digital (3, 10, 11)-net over F₃, using
        linear code embedding found in a computer search [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.