MinT - Information on Result #2438950

Information on Result #2438950

Linear OOA(4⁷⁸, 44, F₄, 2, 52) (dual of [(44, 2), 10, 53]-NRT-code), using strength reduction based on linear OOA(4⁷⁸, 44, F₄, 2, 53) (dual of [(44, 2), 10, 54]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4¹⁸, 14, F₄, 2, 15) (dual of [(14, 2), 10, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,12P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4⁵⁰, 30, F₄, 2, 37) (dual of [(30, 2), 10, 38]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,22P) [i] based on function field F/F₄ with g(F) = 13 and N(F) ≥ 30, using
    - F₄ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [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.