MinT - Information on Result #1025541

Information on Result #1025541

Linear OOA(2²³⁹, 82, F₂, 3, 145) (dual of [(82, 3), 7, 146]-NRT-code), using juxtaposition based on

linear OOA(2¹⁷, 8, F₂, 3, 13) (dual of [(8, 3), 7, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²¹⁵, 74, F₂, 3, 131) (dual of [(74, 3), 7, 132]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹⁴, 7, F₂, 3, 11) (dual of [(7, 3), 7, 12]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹⁹⁴, 67, F₂, 3, 119) (dual of [(67, 3), 7, 120]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2¹⁴, 7, F₂, 3, 11) (dual of [(7, 3), 7, 12]-NRT-code) (see above)
      2. linear OOA(2¹⁷³, 60, F₂, 3, 107) (dual of [(60, 3), 7, 108]-NRT-code), using
        repeating each code word 6 times [i] based on linear OOA(2²³, 10, F₂, 3, 17) (dual of [(10, 3), 7, 18]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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