MinT - Information on Result #2764175

Information on Result #2764175

Linear OOA(2¹⁹⁸, 55, F₂, 4, 112) (dual of [(55, 4), 22, 113]-NRT-code), using strength reduction based on linear OOA(2¹⁹⁸, 55, F₂, 4, 113) (dual of [(55, 4), 22, 114]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁶⁶, 22, F₂, 4, 41) (dual of [(22, 4), 22, 42]-NRT-code), using
  - 1 times NRT-code embedding in larger space [i] based on linear OOA(2⁶², 21, F₂, 4, 41) (dual of [(21, 4), 22, 42]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,42P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹¹⁰, 33, F₂, 4, 71) (dual of [(33, 4), 22, 72]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,60P) [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.