MinT - Information on Result #2634299

Information on Result #2634299

Linear OOA(4¹⁹⁹, 70, F₄, 3, 151) (dual of [(70, 3), 11, 152]-NRT-code), using strength reduction based on linear OOA(4¹⁹⁹, 70, F₄, 3, 153) (dual of [(70, 3), 11, 154]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³¹, 14, F₄, 3, 28) (dual of [(14, 3), 11, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,13P) [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(4¹⁵⁷, 56, F₄, 3, 124) (dual of [(56, 3), 11, 125]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,43P) [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.