MinT - Information on Result #2717446

Information on Result #2717446

Linear OOA(4²⁴⁴, 152, F₄, 3, 138) (dual of [(152, 3), 212, 139]-NRT-code), using strength reduction based on linear OOA(4²⁴⁴, 152, F₄, 3, 139) (dual of [(152, 3), 212, 140]-NRT-code), using

constructionÂ X applied to AG(3;F,289P) âŠ‚ AG(3;F,303P) [i] based on
1. linear OOA(4²³⁰, 143, F₄, 3, 139) (dual of [(143, 3), 199, 140]-NRT-code), using algebraic-geometric NRT-code AG(3;F,289P) [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(4²¹⁶, 143, F₄, 3, 125) (dual of [(143, 3), 213, 126]-NRT-code), using algebraic-geometric NRT-code AG(3;F,303P) [i] based on function field F/F₄ with g(F) = 91 and N(F) ≥ 144 (see above)
3. linear OOA(4¹⁴, 9, F₄, 3, 13) (dual of [(9, 3), 13, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,13P) [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.