MinT - Information on Result #1010114

Information on Result #1010114

Linear OOA(2¹⁷⁹, 61, F₂, 3, 97) (dual of [(61, 3), 4, 98]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁸¹, 28, F₂, 3, 48) (dual of [(28, 3), 3, 49]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³³, 12, F₂, 3, 24) (dual of [(12, 3), 3, 25]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, 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(2⁹⁸, 33, F₂, 3, 97) (dual of [(33, 3), 1, 98]-NRT-code), using
- strength reduction [i] based on 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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