MinT - Information on Result #1010224

Information on Result #1010224

Linear OOA(2²⁰⁶, 72, F₂, 3, 109) (dual of [(72, 3), 10, 110]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹⁶, 35, F₂, 3, 54) (dual of [(35, 3), 9, 55]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴², 17, F₂, 3, 27) (dual of [(17, 3), 9, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁵⁴, 18, F₂, 3, 54) (dual of [(18, 3), 0, 55]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
linear OOA(2¹¹⁰, 37, F₂, 3, 109) (dual of [(37, 3), 1, 110]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹¹⁰, 37, F₂, 3, 110) (dual of [(37, 3), 1, 111]-NRT-code), using
  - dual of repetition NRT-code with length 37 [i]

Mode: Constructive and linear.

None.

None.