MinT - Information on Result #2759695

Information on Result #2759695

Linear OOA(2¹¹³, 31, F₂, 4, 75) (dual of [(31, 4), 11, 76]-NRT-code), using strength reduction based on linear OOA(2¹¹³, 31, F₂, 4, 76) (dual of [(31, 4), 11, 77]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³³, 11, F₂, 4, 25) (dual of [(11, 4), 11, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,18P) [i] based on function field F/F₂ with g(F) = 8 and N(F) ≥ 11, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁶⁹, 20, F₂, 4, 50) (dual of [(20, 4), 11, 51]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,29P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, 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.