MinT - Information on Result #1010236

Information on Result #1010236

Linear OOA(2²⁰⁷, 71, F₂, 3, 111) (dual of [(71, 3), 6, 112]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹⁶, 34, F₂, 3, 55) (dual of [(34, 3), 6, 56]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴⁰, 15, F₂, 3, 27) (dual of [(15, 3), 5, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,17P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁵⁶, 19, F₂, 3, 55) (dual of [(19, 3), 1, 56]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁵⁶, 19, F₂, 3, 56) (dual of [(19, 3), 1, 57]-NRT-code), using
      - dual of repetition NRT-code with length 19 [i]
linear OOA(2¹¹¹, 37, F₂, 3, 111) (dual of [(37, 3), 0, 112]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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