MinT - Information on Result #1010105

Information on Result #1010105

Linear OOA(2¹⁷⁹, 62, F₂, 3, 96) (dual of [(62, 3), 7, 97]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁸³, 30, F₂, 3, 48) (dual of [(30, 3), 7, 49]-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(2⁴⁸, 16, F₂, 3, 48) (dual of [(16, 3), 0, 49]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
linear OOA(2⁹⁶, 32, F₂, 3, 96) (dual of [(32, 3), 0, 97]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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