MinT - Information on Result #1010215

Information on Result #1010215

Linear OOA(2²⁰⁴, 71, F₂, 3, 108) (dual of [(71, 3), 9, 109]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹⁶, 35, F₂, 3, 54) (dual of [(35, 3), 9, 55]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴², 17, F₂, 3, 27) (dual of [(17, 3), 9, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁵⁴, 18, F₂, 3, 54) (dual of [(18, 3), 0, 55]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
linear OOA(2¹⁰⁸, 36, F₂, 3, 108) (dual of [(36, 3), 0, 109]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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