MinT - Information on Result #1025599

Information on Result #1025599

Linear OOA(2²¹⁶, 74, F₂, 3, 138) (dual of [(74, 3), 6, 139]-NRT-code), using juxtaposition based on

linear OOA(2¹², 6, F₂, 3, 10) (dual of [(6, 3), 6, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁹⁸, 68, F₂, 3, 127) (dual of [(68, 3), 6, 128]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹², 6, F₂, 3, 10) (dual of [(6, 3), 6, 11]-NRT-code) (see above)
  2. linear OOA(2¹⁸⁰, 62, F₂, 3, 116) (dual of [(62, 3), 6, 117]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2¹², 6, F₂, 3, 10) (dual of [(6, 3), 6, 11]-NRT-code) (see above)
      2. linear OOA(2¹⁶², 56, F₂, 3, 105) (dual of [(56, 3), 6, 106]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2¹², 6, F₂, 3, 10) (dual of [(6, 3), 6, 11]-NRT-code) (see above)
        linear OOA(2¹⁴⁴, 50, F₂, 3, 94) (dual of [(50, 3), 6, 95]-NRT-code), using
        repeating each code word 5 times [i] based on linear OOA(2²⁴, 10, F₂, 3, 18) (dual of [(10, 3), 6, 19]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,11P) [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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