MinT - Information on Result #1027256

Information on Result #1027256

Linear OOA(4²⁵⁰, 86, F₄, 3, 200) (dual of [(86, 3), 8, 201]-NRT-code), using juxtaposition based on

linear OOA(4⁴³, 17, F₄, 3, 38) (dual of [(17, 3), 8, 39]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,12P) [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(4¹⁹⁹, 69, F₄, 3, 161) (dual of [(69, 3), 8, 162]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4³⁷, 15, F₄, 3, 33) (dual of [(15, 3), 8, 34]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(4¹⁵⁴, 54, F₄, 3, 127) (dual of [(54, 3), 8, 128]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(4⁷³, 27, F₄, 3, 63) (dual of [(27, 3), 8, 64]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,17P) [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: