MinT - Information on Result #1009833

Information on Result #1009833

Linear OOA(2¹³¹, 48, F₂, 3, 65) (dual of [(48, 3), 13, 66]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶⁰, 24, F₂, 3, 32) (dual of [(24, 3), 12, 33]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁵, 12, F₂, 3, 16) (dual of [(12, 3), 11, 17]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,19P) [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(2³⁵, 12, F₂, 3, 32) (dual of [(12, 3), 1, 33]-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(2⁷¹, 24, F₂, 3, 65) (dual of [(24, 3), 1, 66]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁷¹, 24, F₂, 3, 71) (dual of [(24, 3), 1, 72]-NRT-code), using
  - dual of repetition NRT-code with length 24 [i]

Mode: Constructive and linear.

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