MinT - Information on Result #1021261

Information on Result #1021261

Linear OOA(4¹⁴⁷, 52, F₄, 3, 115) (dual of [(52, 3), 9, 116]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4³¹, 13, F₄, 3, 28) (dual of [(13, 3), 8, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4³¹, 14, F₄, 3, 28) (dual of [(14, 3), 11, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,13P) [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(4³⁸, 13, F₄, 3, 38) (dual of [(13, 3), 1, 39]-NRT-code), using
- dual of repetition NRT-code with length 13 [i]
linear OOA(4³⁹, 13, F₄, 3, 39) (dual of [(13, 3), 0, 40]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(4³⁹, 13, F₄, 3, 39) (dual of [(13, 3), 0, 40]-NRT-code) (see above)

Mode: Constructive and linear.

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