MinT - Information on Result #2843911

Information on Result #2843911

Linear OOA(2¹⁹⁸, 41, F₂, 5, 147) (dual of [(41, 5), 7, 148]-NRT-code), using strength reduction based on linear OOA(2¹⁹⁸, 41, F₂, 5, 154) (dual of [(41, 5), 7, 155]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁸, 9, F₂, 5, 33) (dual of [(9, 5), 7, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,11P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁵³, 32, F₂, 5, 120) (dual of [(32, 5), 7, 121]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2³⁸, 9, F₂, 5, 33) (dual of [(9, 5), 7, 34]-NRT-code) (see above)
    2. linear OOA(2¹⁰⁸, 23, F₂, 5, 86) (dual of [(23, 5), 7, 87]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(2³⁸, 9, F₂, 5, 33) (dual of [(9, 5), 7, 34]-NRT-code) (see above)
        linear OOA(2⁶³, 14, F₂, 5, 52) (dual of [(14, 5), 7, 53]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(5;F,17P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.