MinT - Information on Result #1025126

Information on Result #1025126

Linear OOA(2²⁵³, 89, F₂, 3, 128) (dual of [(89, 3), 14, 129]-NRT-code), using juxtaposition based on

linear OOA(2⁴⁹, 21, F₂, 3, 28) (dual of [(21, 3), 14, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,34P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁹⁰, 68, F₂, 3, 99) (dual of [(68, 3), 14, 100]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁸⁹, 34, F₂, 3, 49) (dual of [(34, 3), 13, 50]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2³⁹, 17, F₂, 3, 24) (dual of [(17, 3), 12, 25]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,26P) [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(2⁵⁰, 17, F₂, 3, 49) (dual of [(17, 3), 1, 50]-NRT-code), using
        strength reduction [i] based on linear OOA(2⁵⁰, 17, F₂, 3, 50) (dual of [(17, 3), 1, 51]-NRT-code), using
        dual of repetition NRT-code with length 17 [i]
  2. linear OOA(2¹⁰¹, 34, F₂, 3, 99) (dual of [(34, 3), 1, 100]-NRT-code), using
    - strength reduction [i] based on linear OOA(2¹⁰¹, 34, F₂, 3, 101) (dual of [(34, 3), 1, 102]-NRT-code), using
      - dual of repetition NRT-code with length 34 [i]

Mode: Constructive and linear.

None.

None.