MinT - Information on Result #906258

Information on Result #906258

Linear OOA(4¹⁰⁵, 59, F₄, 2, 67) (dual of [(59, 2), 13, 68]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4¹⁹, 14, F₄, 2, 16) (dual of [(14, 2), 9, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,11P) [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(4²⁶, 15, F₄, 2, 22) (dual of [(15, 2), 4, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,7P) [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(4³⁰, 15, F₄, 2, 30) (dual of [(15, 2), 0, 31]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(4³⁰, 15, F₄, 2, 30) (dual of [(15, 2), 0, 31]-NRT-code) (see above)

Mode: Constructive and linear.

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