MinT - Information on Result #1027299

Information on Result #1027299

Linear OOA(4¹²⁸, 45, F₄, 3, 105) (dual of [(45, 3), 7, 106]-NRT-code), using juxtaposition based on

linear OOA(4³⁵, 14, F₄, 3, 32) (dual of [(14, 3), 7, 33]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4⁸⁶, 31, F₄, 3, 72) (dual of [(31, 3), 7, 73]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4³⁵, 14, F₄, 3, 32) (dual of [(14, 3), 7, 33]-NRT-code) (see above)
  2. linear OOA(4⁴⁴, 17, F₄, 3, 39) (dual of [(17, 3), 7, 40]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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