MinT - Information on Result #2635554

Information on Result #2635554

Linear OOA(4²¹⁷, 77, F₄, 3, 160) (dual of [(77, 3), 14, 161]-NRT-code), using strength reduction based on linear OOA(4²¹⁷, 77, F₄, 3, 164) (dual of [(77, 3), 14, 165]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁴⁹, 21, F₄, 3, 42) (dual of [(21, 3), 14, 43]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,20P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁵⁴, 56, F₄, 3, 121) (dual of [(56, 3), 14, 122]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,46P) [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.