MinT - Information on Result #2952744

Information on Result #2952744

Linear OOA(2²²³, 33, F₂, 7, 186) (dual of [(33, 7), 8, 187]-NRT-code), using strength reduction based on linear OOA(2²²³, 33, F₂, 7, 187) (dual of [(33, 7), 8, 188]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁶², 10, F₂, 7, 56) (dual of [(10, 7), 8, 57]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,13P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁵³, 23, F₂, 7, 130) (dual of [(23, 7), 8, 131]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2⁵⁵, 9, F₂, 7, 50) (dual of [(9, 7), 8, 51]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(7;F,12P) [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(2⁹⁰, 14, F₂, 7, 79) (dual of [(14, 7), 8, 80]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(7;F,18P) [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.