MinT - Information on Result #1183722

Information on Result #1183722

Digital (124, 136, 1398123)-net over F₃, using net defined by OOA based on linear OOA(3¹³⁶, 1398123, F₃, 15, 12) (dual of [(1398123, 15), 20971709, 13]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3¹³⁶, 2796247, F₃, 3, 12) (dual of [(2796247, 3), 8388605, 13]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3¹⁶, 46, F₃, 3, 6) (dual of [(46, 3), 122, 7]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(3³, 4, F₃, 3, 3) (dual of [(4, 3), 9, 4]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(3;9,3) [i]
      2. linear OOA(3¹³, 42, F₃, 3, 6) (dual of [(42, 3), 113, 7]-NRT-code), using
        extracting embedded OOA [i] based on digital (7, 13, 42)-net over F₃, using
        linear code embedding found in a computer search [i]
  2. linear OOA(3¹²⁰, 2796201, F₃, 3, 12) (dual of [(2796201, 3), 8388483, 13]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(3¹²⁰, large, F₃, 12) (dual of [large, large−120, 13]-code), using
      - the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [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.