MinT - Information on Result #1009842

Information on Result #1009842

Linear OOA(2¹⁴², 52, F₂, 3, 66) (dual of [(52, 3), 14, 67]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶⁵, 26, F₂, 3, 33) (dual of [(26, 3), 13, 34]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁷, 14, F₂, 3, 16) (dual of [(14, 3), 15, 17]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,25P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2³⁸, 13, F₂, 3, 33) (dual of [(13, 3), 1, 34]-NRT-code), using
    - strength reduction [i] based on linear OOA(2³⁸, 13, F₂, 3, 38) (dual of [(13, 3), 1, 39]-NRT-code), using
      - dual of repetition NRT-code with length 13 [i]
linear OOA(2⁷⁷, 26, F₂, 3, 66) (dual of [(26, 3), 1, 67]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁷⁷, 26, F₂, 3, 77) (dual of [(26, 3), 1, 78]-NRT-code), using
  - dual of repetition NRT-code with length 26 [i]

Mode: Constructive and linear.

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