MinT - Information on Result #2717509

Information on Result #2717509

Linear OOA(4²⁴⁶, 153, F₄, 3, 138) (dual of [(153, 3), 213, 139]-NRT-code), using strength reduction based on linear OOA(4²⁴⁶, 153, F₄, 3, 139) (dual of [(153, 3), 213, 140]-NRT-code), using

constructionÂ X applied to AG(3;F,289P) âŠ‚ AG(3;F,304P) [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(4²¹⁵, 143, F₄, 3, 124) (dual of [(143, 3), 214, 125]-NRT-code), using algebraic-geometric NRT-code AG(3;F,304P) [i] based on function field F/F₄ with g(F) = 91 and N(F) ≥ 144 (see above)
3. linear OOA(4¹⁶, 10, F₄, 3, 14) (dual of [(10, 3), 14, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₄ with g(F) = 2 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [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.