MinT - Information on Result #1010125

Information on Result #1010125

Linear OOA(2¹⁸⁵, 65, F₂, 3, 98) (dual of [(65, 3), 10, 99]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁸⁷, 32, F₂, 3, 49) (dual of [(32, 3), 9, 50]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³⁷, 15, F₂, 3, 24) (dual of [(15, 3), 8, 25]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,20P) [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(2⁵⁰, 17, F₂, 3, 49) (dual of [(17, 3), 1, 50]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁵⁰, 17, F₂, 3, 50) (dual of [(17, 3), 1, 51]-NRT-code), using
      - dual of repetition NRT-code with length 17 [i]
linear OOA(2⁹⁸, 33, F₂, 3, 98) (dual of [(33, 3), 1, 99]-NRT-code), using
- dual of repetition NRT-code with length 33 [i]

Mode: Constructive and linear.

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