MinT - Information on Result #2846893

Information on Result #2846893

Linear OOA(2²³⁷, 51, F₂, 5, 160) (dual of [(51, 5), 18, 161]-NRT-code), using strength reduction based on linear OOA(2²³⁷, 51, F₂, 5, 162) (dual of [(51, 5), 18, 163]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁷², 18, F₂, 5, 53) (dual of [(18, 5), 18, 54]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2⁷², 19, F₂, 5, 53) (dual of [(19, 5), 23, 54]-NRT-code), using
    - algebraic-geometric NRT-code AG(5;F,41P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁴⁷, 33, F₂, 5, 108) (dual of [(33, 5), 18, 109]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,56P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, 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.