MinT - Information on Result #1183868

Information on Result #1183868

Digital (130, 143, 1398182)-net over F₃, using net defined by OOA based on linear OOA(3¹⁴³, 1398182, F₃, 15, 13) (dual of [(1398182, 15), 20972587, 14]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3¹⁴³, 2796365, F₃, 3, 13) (dual of [(2796365, 3), 8388952, 14]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3²², 164, F₃, 3, 6) (dual of [(164, 3), 470, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (16, 22, 164)-net over F₃, using
      - trace code for nets [i] based on digital (5, 11, 82)-net over F₉, using
        base reduction for projective spaces (embedding PG(5,81) in PG(10,9)) for nets [i] based on digital (0, 6, 82)-net over F₈₁, using
        net from sequence [i] based on digital (0, 81)-sequence over F₈₁, using
        generalized Faure sequence [i]
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 0 and N(F) ≥ 82, using
        the rational function field F₈₁(x) [i]
        Niederreiter sequence [i]
  2. linear OOA(3¹²¹, 2796201, F₃, 3, 13) (dual of [(2796201, 3), 8388482, 14]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(3¹²¹, large, F₃, 13) (dual of [large, large−121, 14]-code), using
      - the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 3³⁰âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (BCH-bound) [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.