MinT - Information on Result #2846747

Information on Result #2846747

Linear OOA(2²³⁵, 51, F₂, 5, 156) (dual of [(51, 5), 20, 157]-NRT-code), using strength reduction based on linear OOA(2²³⁵, 51, F₂, 5, 158) (dual of [(51, 5), 20, 159]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁸⁰, 20, F₂, 5, 61) (dual of [(20, 5), 20, 62]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,38P) [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(2¹³⁵, 31, F₂, 5, 96) (dual of [(31, 5), 20, 97]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2¹³⁵, 32, F₂, 5, 96) (dual of [(32, 5), 25, 97]-NRT-code), using
    - algebraic-geometric NRT-code AG(5;F,63P) [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.