MinT - Information on Result #1010251

Information on Result #1010251

Linear OOA(2²¹⁰, 72, F₂, 3, 113) (dual of [(72, 3), 6, 114]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹⁷, 34, F₂, 3, 56) (dual of [(34, 3), 5, 57]-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(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(2¹¹³, 38, F₂, 3, 113) (dual of [(38, 3), 1, 114]-NRT-code), using
- dual of repetition NRT-code with length 38 [i]

Mode: Constructive and linear.

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