MinT - Information on Result #1713310

Information on Result #1713310

Digital (129, 143, 1602432)-net over F₃, using net defined by OOA based on linear OOA(3¹⁴³, 1602432, F₃, 20, 14) (dual of [(1602432, 20), 32048497, 15]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3¹⁴³, 3204865, F₃, 4, 14) (dual of [(3204865, 4), 12819317, 15]-NRT-code), using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3¹⁴³, 3204865, F₃, 2, 14) (dual of [(3204865, 2), 6409587, 15]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹⁴³, 4194305, F₃, 2, 14) (dual of [(4194305, 2), 8388467, 15]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(3⁷, 4, F₃, 2, 7) (dual of [(4, 2), 1, 8]-NRT-code), using
        dual of repetition NRT-code with length 4 [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.