MinT - Information on Result #1206270

Information on Result #1206270

Digital (214, 232, 932101)-net over F₂, using (u,Â u+v)-construction based on

digital (16, 25, 34)-net over F₂, using
- net defined by OOA [i] based on linear OOA(2²⁵, 34, F₂, 9, 9) (dual of [(34, 9), 281, 10]-NRT-code), using
  - appending kth column [i] based on linear OOA(2²⁵, 34, F₂, 8, 9) (dual of [(34, 8), 247, 10]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2⁸, 17, F₂, 8, 4) (dual of [(17, 8), 128, 5]-NRT-code), using
        appending 4 arbitrary columns [i] based on linear OOA(2⁸, 17, F₂, 4, 4) (dual of [(17, 4), 60, 5]-NRT-code), using
        appending kth column [i] based on linear OOA(2⁸, 17, F₂, 3, 4) (dual of [(17, 3), 43, 5]-NRT-code), using
        extracting embedded OOA [i] based on digital (4, 8, 17)-net over F₂, using
        nets constructed from net-embeddable BCH codes [i]
      2. linear OOA(2¹⁷, 17, F₂, 8, 9) (dual of [(17, 8), 119, 10]-NRT-code), using
        extracting embedded OOA [i] based on digital (8, 17, 17)-net over F₂, using
        a shift-net [i]
digital (189, 207, 932067)-net over F₂, using
- net defined by OOA [i] based on linear OOA(2²⁰⁷, 932067, F₂, 18, 18) (dual of [(932067, 18), 16776999, 19]-NRT-code), using
  - OA 9-folding and stacking [i] based on linear OA(2²⁰⁷, large, F₂, 18) (dual of [large, large−207, 19]-code), using
    - the primitive narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [1,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [i]

Mode: Constructive and linear.

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