MinT - Information on Result #1010162

Information on Result #1010162

Linear OOA(2¹⁸⁹, 65, F₂, 3, 102) (dual of [(65, 3), 6, 103]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁸⁷, 31, F₂, 3, 51) (dual of [(31, 3), 6, 52]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³⁶, 14, F₂, 3, 25) (dual of [(14, 3), 6, 26]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,16P) [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(2⁵¹, 17, F₂, 3, 51) (dual of [(17, 3), 0, 52]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
linear OOA(2¹⁰², 34, F₂, 3, 102) (dual of [(34, 3), 0, 103]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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