MinT - Information on Result #1021232

Information on Result #1021232

Linear OOA(4²²⁰, 80, F₄, 3, 149) (dual of [(80, 3), 20, 150]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4⁴⁴, 20, F₄, 3, 37) (dual of [(20, 3), 16, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁴⁴, 21, F₄, 3, 37) (dual of [(21, 3), 19, 38]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,25P) [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(4⁵⁶, 20, F₄, 3, 49) (dual of [(20, 3), 4, 50]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁵⁶, 21, F₄, 3, 49) (dual of [(21, 3), 7, 50]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21 (see above)
linear OOA(4⁶⁰, 20, F₄, 3, 60) (dual of [(20, 3), 0, 61]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(4⁶⁰, 20, F₄, 3, 60) (dual of [(20, 3), 0, 61]-NRT-code) (see above)

Mode: Constructive and linear.

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