MinT - Information on Result #906221

Information on Result #906221

Linear OOA(4¹⁴⁸, 76, F₄, 2, 113) (dual of [(76, 2), 4, 114]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4³⁵, 19, F₄, 2, 28) (dual of [(19, 2), 3, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4³⁵, 21, F₄, 2, 28) (dual of [(21, 2), 7, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,13P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4³⁷, 19, F₄, 2, 37) (dual of [(19, 2), 1, 38]-NRT-code), using
- dual of repetition NRT-code with length 19 [i]
linear OOA(4³⁸, 19, F₄, 2, 38) (dual of [(19, 2), 0, 39]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(4³⁸, 19, F₄, 2, 38) (dual of [(19, 2), 0, 39]-NRT-code) (see above)

Mode: Constructive and linear.

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