MinT - Information on Result #906253

Information on Result #906253

Linear OOA(4¹¹³, 63, F₄, 2, 71) (dual of [(63, 2), 13, 72]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4²¹, 15, F₄, 2, 17) (dual of [(15, 2), 9, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,12P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4²⁸, 16, F₄, 2, 23) (dual of [(16, 2), 4, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²⁸, 17, F₄, 2, 23) (dual of [(17, 2), 6, 24]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,10P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4³², 16, F₄, 2, 32) (dual of [(16, 2), 0, 33]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(4³², 16, F₄, 2, 32) (dual of [(16, 2), 0, 33]-NRT-code) (see above)

Mode: Constructive and linear.

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