MinT - Information on Result #2717705

Information on Result #2717705

Linear OOA(4²⁵², 151, F₄, 3, 148) (dual of [(151, 3), 201, 149]-NRT-code), using strength reduction based on linear OOA(4²⁵², 151, F₄, 3, 149) (dual of [(151, 3), 201, 150]-NRT-code), using

constructionÂ X applied to AG(3;F,279P) âŠ‚ AG(3;F,291P) [i] based on
1. linear OOA(4²⁴⁰, 143, F₄, 3, 149) (dual of [(143, 3), 189, 150]-NRT-code), using algebraic-geometric NRT-code AG(3;F,279P) [i] based on function field F/F₄ with g(F) = 91 and N(F) ≥ 144, using
  - Drinfeld modules of rank 1 [i]
2. linear OOA(4²²⁸, 143, F₄, 3, 137) (dual of [(143, 3), 201, 138]-NRT-code), using algebraic-geometric NRT-code AG(3;F,291P) [i] based on function field F/F₄ with g(F) = 91 and N(F) ≥ 144 (see above)
3. linear OOA(4¹², 8, F₄, 3, 11) (dual of [(8, 3), 12, 12]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4¹², 9, F₄, 3, 11) (dual of [(9, 3), 15, 12]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
      - the Hermitian function field over F₄ [i]

Mode: 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.