MinT - Information on Result #1207992

Information on Result #1207992

Digital (187, 198, 6710894)-net over F₃, using (u,Â u+v)-construction based on

digital (41, 46, 4194301)-net over F₃, using
- net defined by OOA [i] based on linear OOA(3⁴⁶, 4194301, F₃, 5, 5) (dual of [(4194301, 5), 20971459, 6]-NRT-code), using
  - OOA 2-folding and stacking with additional row [i] based on linear OA(3⁴⁶, large, F₃, 5) (dual of [large, large−46, 6]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,4], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 6 [i]
digital (141, 152, 3355447)-net over F₃, using
- (u,Â u+v)-construction [i] based on
  1. digital (1, 6, 7)-net over F₃, using
    - net from sequence [i] based on digital (1, 6)-sequence over F₃, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
        an explicitly constructive algebraic function field [i]
  2. digital (135, 146, 3355440)-net over F₃, using
    - trace code for nets [i] based on digital (62, 73, 1677720)-net over F₉, using
      - net defined by OOA [i] based on linear OOA(9⁷³, 1677720, F₉, 11, 11) (dual of [(1677720, 11), 18454847, 12]-NRT-code), using
        OOA 5-folding and stacking with additional row [i] based on linear OA(9⁷³, 8388601, F₉, 11) (dual of [8388601, 8388528, 12]-code), using
        discarding factors / shortening the dual code based on linear OA(9⁷³, large, F₉, 11) (dual of [large, large−73, 12]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 9⁸âˆ’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.