MinT - Information on Result #1025065

Information on Result #1025065

Linear OOA(2²⁴², 86, F₂, 3, 117) (dual of [(86, 3), 16, 118]-NRT-code), using juxtaposition based on

linear OOA(2⁴⁴, 20, F₂, 3, 25) (dual of [(20, 3), 16, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,34P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁸², 66, F₂, 3, 91) (dual of [(66, 3), 16, 92]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁸⁴, 33, F₂, 3, 45) (dual of [(33, 3), 15, 46]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,53P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁹⁸, 33, F₂, 3, 91) (dual of [(33, 3), 1, 92]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁹⁸, 33, F₂, 3, 98) (dual of [(33, 3), 1, 99]-NRT-code), using
      - dual of repetition NRT-code with length 33 [i]

Mode: Constructive and linear.

None.

None.