MinT - Information on Result #1021296

Information on Result #1021296

Linear OOA(4²⁰⁰, 72, F₄, 3, 143) (dual of [(72, 3), 16, 144]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4⁵⁷, 24, F₄, 3, 47) (dual of [(24, 3), 15, 48]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁵⁷, 26, F₄, 3, 47) (dual of [(26, 3), 21, 48]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,30P) [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(4⁷¹, 24, F₄, 3, 71) (dual of [(24, 3), 1, 72]-NRT-code), using
- dual of repetition NRT-code with length 24 [i]
linear OOA(4⁷², 24, F₄, 3, 72) (dual of [(24, 3), 0, 73]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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