MinT - Information on Result #906213

Information on Result #906213

Linear OOA(4²⁰⁵, 108, F₄, 2, 139) (dual of [(108, 2), 11, 140]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4⁴⁴, 27, F₄, 2, 34) (dual of [(27, 2), 10, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,19P) [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(4⁵³, 27, F₄, 2, 46) (dual of [(27, 2), 1, 47]-NRT-code), using
- strength reduction [i] based on linear OOA(4⁵³, 27, F₄, 2, 53) (dual of [(27, 2), 1, 54]-NRT-code), using
  - dual of repetition NRT-code with length 27 [i]
linear OOA(4⁵⁴, 27, F₄, 2, 54) (dual of [(27, 2), 0, 55]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(4⁵⁴, 27, F₄, 2, 54) (dual of [(27, 2), 0, 55]-NRT-code) (see above)

Mode: Constructive and linear.

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