MinT - Information on Result #1027525

Information on Result #1027525

Linear OOA(4²¹⁸, 74, F₄, 3, 189) (dual of [(74, 3), 4, 190]-NRT-code), using juxtaposition based on

linear OOA(4²³, 9, F₄, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,4P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
  - the Hermitian function field over F₄ [i]
linear OOA(4¹⁹¹, 65, F₄, 3, 166) (dual of [(65, 3), 4, 167]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4²³, 9, F₄, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code) (see above)
  2. linear OOA(4¹⁶⁴, 56, F₄, 3, 143) (dual of [(56, 3), 4, 144]-NRT-code), using
    - repeating each code word 4 times [i] based on linear OOA(4³⁸, 14, F₄, 3, 35) (dual of [(14, 3), 4, 36]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

None.