MinT - Information on Result #1009846

Information on Result #1009846

Linear OOA(2¹²⁷, 46, F₂, 3, 67) (dual of [(46, 3), 11, 68]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁵⁹, 23, F₂, 3, 33) (dual of [(23, 3), 10, 34]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁴, 11, F₂, 3, 16) (dual of [(11, 3), 9, 17]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,16P) [i] based on function field F/F₂ with g(F) = 8 and N(F) ≥ 11, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2³⁵, 12, F₂, 3, 33) (dual of [(12, 3), 1, 34]-NRT-code), using
    - strength reduction [i] based on linear OOA(2³⁵, 12, F₂, 3, 35) (dual of [(12, 3), 1, 36]-NRT-code), using
      - dual of repetition NRT-code with length 12 [i]
linear OOA(2⁶⁸, 23, F₂, 3, 67) (dual of [(23, 3), 1, 68]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁶⁸, 23, F₂, 3, 68) (dual of [(23, 3), 1, 69]-NRT-code), using
  - dual of repetition NRT-code with length 23 [i]

Mode: Constructive and linear.

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