MinT - Information on Result #1010067

Information on Result #1010067

Linear OOA(2¹⁷⁰, 58, F₂, 3, 92) (dual of [(58, 3), 4, 93]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁷⁸, 27, F₂, 3, 46) (dual of [(27, 3), 3, 47]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³¹, 11, F₂, 3, 23) (dual of [(11, 3), 2, 24]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,9P) [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(2⁴⁷, 16, F₂, 3, 46) (dual of [(16, 3), 1, 47]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁴⁷, 16, F₂, 3, 47) (dual of [(16, 3), 1, 48]-NRT-code), using
      - dual of repetition NRT-code with length 16 [i]
linear OOA(2⁹², 31, F₂, 3, 92) (dual of [(31, 3), 1, 93]-NRT-code), using
- dual of repetition NRT-code with length 31 [i]

Mode: Constructive and linear.

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