MinT - Information on Result #1010257

Information on Result #1010257

Linear OOA(2²¹², 72, F₂, 3, 114) (dual of [(72, 3), 4, 115]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹⁸, 34, F₂, 3, 57) (dual of [(34, 3), 4, 58]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴¹, 15, F₂, 3, 28) (dual of [(15, 3), 4, 29]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,16P) [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(2⁵⁷, 19, F₂, 3, 57) (dual of [(19, 3), 0, 58]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
linear OOA(2¹¹⁴, 38, F₂, 3, 114) (dual of [(38, 3), 0, 115]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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