MinT - Information on Result #941531

Information on Result #941531

Linear OOA(2⁶⁷, 37, F₂, 2, 38) (dual of [(37, 2), 7, 39]-NRT-code), using juxtaposition based on

linear OOA(2⁹, 8, F₂, 2, 6) (dual of [(8, 2), 7, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2⁹, 9, F₂, 2, 6) (dual of [(9, 2), 9, 7]-NRT-code), using
  - extracting embedded OOA [i] based on digital (3, 9, 9)-net over F₂, using
    - a shift-net [i]
linear OOA(2⁵¹, 29, F₂, 2, 31) (dual of [(29, 2), 7, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2⁵¹, 30, F₂, 2, 31) (dual of [(30, 2), 9, 32]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(8⁷, 10, F₈, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
      - Denniston code D(1,8) [i]
    2. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [i]

Mode: Constructive and linear.

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