MinT - Information on Result #906391

Information on Result #906391

Linear OOA(4⁶⁵, 45, F₄, 2, 33) (dual of [(45, 2), 25, 34]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4¹⁵, 15, F₄, 2, 11) (dual of [(15, 2), 15, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4¹⁵, 30, F₄, 11) (dual of [30, 15, 12]-code), using
  - extended quadratic residue code Q_e(30,4) [i]
linear OOA(4²⁰, 15, F₄, 2, 16) (dual of [(15, 2), 10, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,13P) [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]

Mode: Constructive and linear.

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