MinT - Information on Result #2764058

Information on Result #2764058

Linear OOA(2¹⁹⁶, 54, F₂, 4, 116) (dual of [(54, 4), 20, 117]-NRT-code), using strength reduction based on linear OOA(2¹⁹⁶, 54, F₂, 4, 117) (dual of [(54, 4), 20, 118]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁶⁴, 21, F₂, 4, 43) (dual of [(21, 4), 20, 44]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,40P) [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(2¹¹², 33, F₂, 4, 73) (dual of [(33, 4), 20, 74]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,58P) [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.