MinT - Information on Result #2763845

Information on Result #2763845

Linear OOA(2¹⁹³, 53, F₂, 4, 116) (dual of [(53, 4), 19, 117]-NRT-code), using strength reduction based on linear OOA(2¹⁹³, 53, F₂, 4, 117) (dual of [(53, 4), 19, 118]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁶¹, 20, F₂, 4, 42) (dual of [(20, 4), 19, 43]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,37P) [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(2¹¹³, 33, F₂, 4, 74) (dual of [(33, 4), 19, 75]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,57P) [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.