MinT - Information on Result #1568775

Information on Result #1568775

Linear OOA(4²³⁸, 81, F₄, 3, 201) (dual of [(81, 3), 5, 202]-NRT-code), using juxtaposition based on

linear OOA(4³⁷, 14, F₄, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4¹⁹⁶, 67, F₄, 3, 166) (dual of [(67, 3), 5, 167]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4³⁷, 14, F₄, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code) (see above)
  2. linear OOA(4¹⁵⁴, 53, F₄, 3, 131) (dual of [(53, 3), 5, 132]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(4³⁴, 13, F₄, 3, 31) (dual of [(13, 3), 5, 32]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(4³⁴, 14, F₄, 3, 31) (dual of [(14, 3), 8, 32]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14 (see above)
      2. linear OOA(4¹¹⁵, 40, F₄, 3, 99) (dual of [(40, 3), 5, 100]-NRT-code), using
        repeating each code word 2 times [i] based on linear OOA(4⁵⁵, 20, F₄, 3, 49) (dual of [(20, 3), 5, 50]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₄ with g(F) = 6 and N(F) ≥ 20, using
        Drinfeld modules of rank 1 [i]

Mode: Linear.

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