MinT - Information on Result #1010060

Information on Result #1010060

Linear OOA(2¹⁶⁸, 58, F₂, 3, 91) (dual of [(58, 3), 6, 92]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁷⁶, 27, F₂, 3, 45) (dual of [(27, 3), 5, 46]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³¹, 12, F₂, 3, 22) (dual of [(12, 3), 5, 23]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,13P) [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(2⁴⁵, 15, F₂, 3, 45) (dual of [(15, 3), 0, 46]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
linear OOA(2⁹², 31, F₂, 3, 91) (dual of [(31, 3), 1, 92]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁹², 31, F₂, 3, 92) (dual of [(31, 3), 1, 93]-NRT-code), using
  - dual of repetition NRT-code with length 31 [i]

Mode: Constructive and linear.

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