MinT - Information on Result #1027324

Information on Result #1027324

Linear OOA(4²¹², 73, F₄, 3, 172) (dual of [(73, 3), 7, 173]-NRT-code), using juxtaposition based on

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]
linear OOA(4¹⁶¹, 56, F₄, 3, 132) (dual of [(56, 3), 7, 133]-NRT-code), using
- juxtaposition [i] based on
  1. 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]
  2. linear OOA(4¹¹⁹, 42, F₄, 3, 99) (dual of [(42, 3), 7, 100]-NRT-code), using
    - repeating each code word 2 times [i] 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, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

The following results depend on this result: