MinT - Information on Result #1010281

Information on Result #1010281

Linear OOA(2²²⁰, 76, F₂, 3, 117) (dual of [(76, 3), 8, 118]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁰³, 37, F₂, 3, 58) (dual of [(37, 3), 8, 59]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴⁴, 17, F₂, 3, 29) (dual of [(17, 3), 7, 30]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,21P) [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(2⁵⁹, 20, F₂, 3, 58) (dual of [(20, 3), 1, 59]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁵⁹, 20, F₂, 3, 59) (dual of [(20, 3), 1, 60]-NRT-code), using
      - dual of repetition NRT-code with length 20 [i]
linear OOA(2¹¹⁷, 39, F₂, 3, 117) (dual of [(39, 3), 0, 118]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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