MinT - Information on Result #1021277

Information on Result #1021277

Linear OOA(4¹⁰⁶, 40, F₄, 3, 74) (dual of [(40, 3), 14, 75]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4²⁰, 10, F₄, 3, 18) (dual of [(10, 3), 10, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₄ with g(F) = 2 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4²⁶, 10, F₄, 3, 24) (dual of [(10, 3), 4, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,5P) [i] based on function field F/F₄ with g(F) = 2 and N(F) ≥ 10 (see above)
linear OOA(4³⁰, 10, F₄, 3, 30) (dual of [(10, 3), 0, 31]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(4³⁰, 10, F₄, 3, 30) (dual of [(10, 3), 0, 31]-NRT-code) (see above)

Mode: Constructive and linear.

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