MinT - Information on Result #1021229

Information on Result #1021229

Linear OOA(4¹⁹³, 66, F₄, 3, 151) (dual of [(66, 3), 5, 152]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4⁴¹, 15, F₄, 3, 37) (dual of [(15, 3), 4, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4⁵⁰, 17, F₄, 3, 50) (dual of [(17, 3), 1, 51]-NRT-code), using
- dual of repetition NRT-code with length 17 [i]
linear OOA(4⁵¹, 17, F₄, 3, 51) (dual of [(17, 3), 0, 52]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(4⁵¹, 17, F₄, 3, 51) (dual of [(17, 3), 0, 52]-NRT-code) (see above)

Mode: Constructive and linear.

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