MinT - Information on Result #2636049

Information on Result #2636049

Linear OOA(4²²³, 150, F₄, 3, 82) (dual of [(150, 3), 227, 83]-NRT-code), using strength reduction based on linear OOA(4²²³, 150, F₄, 3, 83) (dual of [(150, 3), 227, 84]-NRT-code), using

constructionÂ X applied to AG(3;F,303P) âŠ‚ AG(3;F,332P) [i] based on
1. linear OOA(4¹⁸⁸, 129, F₄, 3, 83) (dual of [(129, 3), 199, 84]-NRT-code), using algebraic-geometric NRT-code AG(3;F,303P) [i] based on function field F/F₄ with g(F) = 105 and N(F) ≥ 130, using
  - T₇ from the second tower of function fields by GarcÃa and Stichtenoth over F₄ [i]
2. linear OOA(4¹⁵⁹, 129, F₄, 3, 54) (dual of [(129, 3), 228, 55]-NRT-code), using algebraic-geometric NRT-code AG(3;F,332P) [i] based on function field F/F₄ with g(F) = 105 and N(F) ≥ 130 (see above)
3. linear OOA(4³⁵, 21, F₄, 3, 28) (dual of [(21, 3), 28, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,34P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [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.