MinT - Information on Result #1210900

Information on Result #1210900

Digital (228, 248, 3355458)-net over F₄, using (u,Â u+v)-construction based on

digital (6, 16, 18)-net over F₄, using
- 2 times m-reduction [i] based on digital (6, 18, 18)-net over F₄, using
  - a shift-net [i]
digital (212, 232, 3355440)-net over F₄, using
- trace code for nets [i] based on digital (96, 116, 1677720)-net over F₁₆, using
  - net defined by OOA [i] based on linear OOA(16¹¹⁶, 1677720, F₁₆, 22, 20) (dual of [(1677720, 22), 36909724, 21]-NRT-code), using
    - OOA 5-folding and stacking with additional row [i] based on linear OOA(16¹¹⁶, 8388601, F₁₆, 2, 20) (dual of [(8388601, 2), 16777086, 21]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(16¹¹⁶, 8388602, F₁₆, 2, 20) (dual of [(8388602, 2), 16777088, 21]-NRT-code), using
        trace code [i] based on linear OOA(256⁵⁸, 4194301, F₂₅₆, 2, 20) (dual of [(4194301, 2), 8388544, 21]-NRT-code), using
        OOA 2-folding [i] based on linear OA(256⁵⁸, 8388602, F₂₅₆, 20) (dual of [8388602, 8388544, 21]-code), using
        discarding factors / shortening the dual code based on linear OA(256⁵⁸, large, F₂₅₆, 20) (dual of [large, large−58, 21]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,19], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [i]

Mode: Constructive and linear.

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None.