MinT - Information on Result #906248

Information on Result #906248

Linear OOA(4¹¹⁵, 63, F₄, 2, 74) (dual of [(63, 2), 11, 75]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4²², 15, F₄, 2, 18) (dual of [(15, 2), 8, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,11P) [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(4²⁹, 16, F₄, 2, 24) (dual of [(16, 2), 3, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²⁹, 17, F₄, 2, 24) (dual of [(17, 2), 5, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,9P) [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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