MinT - Information on Result #2634269

Information on Result #2634269

Linear OOA(4¹⁹⁸, 71, F₄, 3, 145) (dual of [(71, 3), 15, 146]-NRT-code), using strength reduction based on linear OOA(4¹⁹⁸, 71, F₄, 3, 147) (dual of [(71, 3), 15, 148]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³⁰, 15, F₄, 3, 26) (dual of [(15, 3), 15, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,18P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁵³, 56, F₄, 3, 120) (dual of [(56, 3), 15, 121]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,47P) [i] based on function field F/F₄ with g(F) = 33 and N(F) ≥ 56, using
    - F₅ 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.