MinT - Information on Result #1842203

Information on Result #1842203

(131, 142, 6711872)-net in base 4, using (u,Â u+v)-construction based on

(13, 18, 992)-net in base 4, using
- net defined by OOA [i] based on OOA(4¹⁸, 992, S₄, 5, 5), using
  - OOA 2-folding and stacking with additional row [i] based on OA(4¹⁸, 1985, S₄, 5), using
    - discarding factors based on OA(4¹⁸, 1986, S₄, 5), using
      - trace code [i] based on OA(16⁹, 993, S₁₆, 5), using
        discarding parts of the base [i] based on linear OA(32⁷, 993, F₃₂, 5) (dual of [993, 986, 6]-code), using
        a code by Danev and Olsson [i]
digital (113, 124, 6710880)-net over F₄, using
- trace code for nets [i] based on digital (20, 31, 1677720)-net over F₂₅₆, using
  - net defined by OOA [i] based on linear OOA(256³¹, 1677720, F₂₅₆, 11, 11) (dual of [(1677720, 11), 18454889, 12]-NRT-code), using
    - OOA 5-folding and stacking with additional row [i] based on linear OA(256³¹, 8388601, F₂₅₆, 11) (dual of [8388601, 8388570, 12]-code), using
      - discarding factors / shortening the dual code based on linear OA(256³¹, large, F₂₅₆, 11) (dual of [large, large−31, 12]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [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.