MinT - Information on Result #2639093

Information on Result #2639093

Linear OOA(4²⁵⁹, 151, F₄, 3, 116) (dual of [(151, 3), 194, 117]-NRT-code), using strength reduction based on linear OOA(4²⁵⁹, 151, F₄, 3, 117) (dual of [(151, 3), 194, 118]-NRT-code), using

constructionÂ X applied to AG(3;F,269P) âŠ‚ AG(3;F,298P) [i] based on
1. linear OOA(4²²², 129, F₄, 3, 117) (dual of [(129, 3), 165, 118]-NRT-code), using algebraic-geometric NRT-code AG(3;F,269P) [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(4¹⁹³, 129, F₄, 3, 88) (dual of [(129, 3), 194, 89]-NRT-code), using algebraic-geometric NRT-code AG(3;F,298P) [i] based on function field F/F₄ with g(F) = 105 and N(F) ≥ 130 (see above)
3. linear OOA(4³⁷, 22, F₄, 3, 28) (dual of [(22, 3), 29, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,37P) [i] based on function field F/F₄ with g(F) = 9 and N(F) ≥ 22, 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.