MinT - Information on Result #906245

Information on Result #906245

Linear OOA(4¹²², 68, F₄, 2, 77) (dual of [(68, 2), 14, 78]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4²⁴, 17, F₄, 2, 19) (dual of [(17, 2), 10, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,14P) [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(4³⁰, 17, F₄, 2, 25) (dual of [(17, 2), 4, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,8P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17 (see above)
linear OOA(4³⁴, 17, F₄, 2, 34) (dual of [(17, 2), 0, 35]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(4³⁴, 17, F₄, 2, 34) (dual of [(17, 2), 0, 35]-NRT-code) (see above)

Mode: Constructive and linear.

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