MinT - Information on Result #1842693

Information on Result #1842693

(50, 59, 4196316)-net in base 16, using (u,Â u+v)-construction based on

(5, 9, 2016)-net in base 16, using
- base change [i] based on digital (2, 6, 2016)-net over F₆₄, using
  - net defined by OOA [i] based on linear OOA(64⁶, 2016, F₆₄, 4, 4) (dual of [(2016, 4), 8058, 5]-NRT-code), using
    - appending kth column [i] based on linear OOA(64⁶, 2016, F₆₄, 3, 4) (dual of [(2016, 3), 6042, 5]-NRT-code), using
      - OA 2-folding and stacking [i] based on linear OA(64⁶, 4032, F₆₄, 4) (dual of [4032, 4026, 5]-code), using
        1 times truncation [i] based on linear OA(64⁷, 4033, F₆₄, 5) (dual of [4033, 4026, 6]-code), using
        a code by Danev and Olsson [i]
digital (41, 50, 4194300)-net over F₁₆, using
- net defined by OOA [i] based on linear OOA(16⁵⁰, 4194300, F₁₆, 10, 9) (dual of [(4194300, 10), 41942950, 10]-NRT-code), using
  - OOA 2-folding and stacking with additional row [i] based on linear OOA(16⁵⁰, 8388601, F₁₆, 2, 9) (dual of [(8388601, 2), 16777152, 10]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(16⁵⁰, 8388602, F₁₆, 2, 9) (dual of [(8388602, 2), 16777154, 10]-NRT-code), using
      - trace code [i] based on linear OOA(256²⁵, 4194301, F₂₅₆, 2, 9) (dual of [(4194301, 2), 8388577, 10]-NRT-code), using
        OOA 2-folding [i] based on linear OA(256²⁵, 8388602, F₂₅₆, 9) (dual of [8388602, 8388577, 10]-code), using
        discarding factors / shortening the dual code based on linear OA(256²⁵, large, F₂₅₆, 9) (dual of [large, large−25, 10]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]

Mode: Constructive.

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.