MinT - Information on Result #2758802

Information on Result #2758802

Linear OOA(2⁹⁰, 25, F₂, 4, 61) (dual of [(25, 4), 10, 62]-NRT-code), using strength reduction based on linear OOA(2⁹⁰, 25, F₂, 4, 62) (dual of [(25, 4), 10, 63]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁰, 10, F₂, 4, 24) (dual of [(10, 4), 10, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,15P) [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(2⁵⁰, 15, F₂, 4, 37) (dual of [(15, 4), 10, 38]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,22P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15, 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.