MinT - Information on Result #2758559

Information on Result #2758559

Linear OOA(2⁸², 23, F₂, 4, 55) (dual of [(23, 4), 10, 56]-NRT-code), using strength reduction based on linear OOA(2⁸², 23, F₂, 4, 56) (dual of [(23, 4), 10, 57]-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(2⁴², 13, F₂, 4, 31) (dual of [(13, 4), 10, 32]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2⁴², 14, F₂, 4, 31) (dual of [(14, 4), 14, 32]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,24P) [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.