MinT - Information on Result #1175503

Information on Result #1175503

Linear OOA(2²⁶, 16, F₂, 8, 13) (dual of [(16, 8), 102, 14]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹, 9, F₂, 8, 6) (dual of [(9, 8), 63, 7]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(2⁹, 9, F₂, 6, 6) (dual of [(9, 6), 45, 7]-NRT-code), using
  - appending kth column [i] based on linear OOA(2⁹, 9, F₂, 5, 6) (dual of [(9, 5), 36, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (3, 9, 9)-net over F₂, using
      - a shift-net [i]
linear OOA(2¹⁷, 8, F₂, 8, 13) (dual of [(8, 8), 47, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(8;F,50P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
  - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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