MinT - Information on Result #2846884

Information on Result #2846884

Linear OOA(2²³⁷, 50, F₂, 5, 170) (dual of [(50, 5), 13, 171]-NRT-code), using strength reduction based on linear OOA(2²³⁷, 50, F₂, 5, 171) (dual of [(50, 5), 13, 172]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁷², 17, F₂, 5, 57) (dual of [(17, 5), 13, 58]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,27P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁵², 33, F₂, 5, 113) (dual of [(33, 5), 13, 114]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,51P) [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.