MinT - Information on Result #1010133

Information on Result #1010133

Linear OOA(2¹⁸⁴, 64, F₂, 3, 99) (dual of [(64, 3), 8, 100]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁸⁵, 31, F₂, 3, 49) (dual of [(31, 3), 8, 50]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³⁵, 14, F₂, 3, 24) (dual of [(14, 3), 7, 25]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,17P) [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(2⁵⁰, 17, F₂, 3, 49) (dual of [(17, 3), 1, 50]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁵⁰, 17, F₂, 3, 50) (dual of [(17, 3), 1, 51]-NRT-code), using
      - dual of repetition NRT-code with length 17 [i]
linear OOA(2⁹⁹, 33, F₂, 3, 99) (dual of [(33, 3), 0, 100]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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