MinT - Information on Result #2634996

Information on Result #2634996

Linear OOA(4²⁰⁹, 77, F₄, 3, 145) (dual of [(77, 3), 22, 146]-NRT-code), using strength reduction based on linear OOA(4²⁰⁹, 77, F₄, 3, 146) (dual of [(77, 3), 22, 147]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁴⁴, 22, F₄, 3, 35) (dual of [(22, 3), 22, 36]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,30P) [i] based on function field F/F₄ with g(F) = 9 and N(F) ≥ 22, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁴³, 55, F₄, 3, 110) (dual of [(55, 3), 22, 111]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,54P) [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.