MinT - Information on Result #1175719

Information on Result #1175719

Linear OOA(2³⁷, 22, F₂, 8, 16) (dual of [(22, 8), 139, 17]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹³, 11, F₂, 8, 8) (dual of [(11, 8), 75, 9]-NRT-code), using
- appending kth column [i] based on linear OOA(2¹³, 11, F₂, 7, 8) (dual of [(11, 7), 64, 9]-NRT-code), using
  - extracting embedded OOA [i] based on digital (5, 13, 11)-net over F₂, using
    - linear code embedding found in a computer search [i]
linear OOA(2²⁴, 11, F₂, 8, 16) (dual of [(11, 8), 64, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(8;F,71P) [i] based on function field F/F₂ with g(F) = 8 and N(F) ≥ 11, using
  - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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