MinT - Information on Result #1009984

Information on Result #1009984

Linear OOA(2¹⁵⁰, 52, F₂, 3, 81) (dual of [(52, 3), 6, 82]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶⁹, 25, F₂, 3, 40) (dual of [(25, 3), 6, 41]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁸, 11, F₂, 3, 20) (dual of [(11, 3), 5, 21]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₂ with g(F) = 8 and N(F) ≥ 11, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁴¹, 14, F₂, 3, 40) (dual of [(14, 3), 1, 41]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁴¹, 14, F₂, 3, 41) (dual of [(14, 3), 1, 42]-NRT-code), using
      - dual of repetition NRT-code with length 14 [i]
linear OOA(2⁸¹, 27, F₂, 3, 81) (dual of [(27, 3), 0, 82]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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