MinT - Information on Result #1021294

Information on Result #1021294

Linear OOA(4²⁰⁸, 75, F₄, 3, 149) (dual of [(75, 3), 17, 150]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4⁵⁹, 25, F₄, 3, 49) (dual of [(25, 3), 16, 50]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁵⁹, 26, F₄, 3, 49) (dual of [(26, 3), 19, 50]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,28P) [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(4⁷⁴, 25, F₄, 3, 74) (dual of [(25, 3), 1, 75]-NRT-code), using
- dual of repetition NRT-code with length 25 [i]
linear OOA(4⁷⁵, 25, F₄, 3, 75) (dual of [(25, 3), 0, 76]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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