MinT - Information on Result #1027404

Information on Result #1027404

Linear OOA(4²⁴⁹, 85, F₄, 3, 206) (dual of [(85, 3), 6, 207]-NRT-code), using juxtaposition based on

linear OOA(4⁴⁵, 17, F₄, 3, 40) (dual of [(17, 3), 6, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,10P) [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(4¹⁹⁸, 68, F₄, 3, 165) (dual of [(68, 3), 6, 166]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4³⁶, 14, F₄, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,8P) [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(4¹⁵⁶, 54, F₄, 3, 131) (dual of [(54, 3), 6, 132]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(4⁷⁵, 27, F₄, 3, 65) (dual of [(27, 3), 6, 66]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

The following results depend on this result: