MinT - Information on Result #906210

Information on Result #906210

Linear OOA(4¹⁹⁶, 100, F₄, 2, 149) (dual of [(100, 2), 4, 150]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4⁴⁷, 25, F₄, 2, 37) (dual of [(25, 2), 3, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁴⁷, 26, F₄, 2, 37) (dual of [(26, 2), 5, 38]-NRT-code), using
  - algebraic-geometric NRT-code AG(2;F,14P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4⁴⁹, 25, F₄, 2, 49) (dual of [(25, 2), 1, 50]-NRT-code), using
- dual of repetition NRT-code with length 25 [i]
linear OOA(4⁵⁰, 25, F₄, 2, 50) (dual of [(25, 2), 0, 51]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(4⁵⁰, 25, F₄, 2, 50) (dual of [(25, 2), 0, 51]-NRT-code) (see above)

Mode: Constructive and linear.

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