MinT - Information on Result #1025187

Information on Result #1025187

Linear OOA(2¹⁷⁷, 63, F₂, 3, 93) (dual of [(63, 3), 12, 94]-NRT-code), using juxtaposition based on

linear OOA(2⁴⁸, 20, F₂, 3, 29) (dual of [(20, 3), 12, 30]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,30P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹¹⁷, 43, F₂, 3, 63) (dual of [(43, 3), 12, 64]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁵², 21, F₂, 3, 31) (dual of [(21, 3), 11, 32]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,31P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁶⁵, 22, F₂, 3, 63) (dual of [(22, 3), 1, 64]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁶⁵, 22, F₂, 3, 65) (dual of [(22, 3), 1, 66]-NRT-code), using
      - dual of repetition NRT-code with length 22 [i]

Mode: Constructive and linear.

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