MinT - Information on Result #2717447

Information on Result #2717447

Linear OOA(4²⁴⁴, 153, F₄, 3, 136) (dual of [(153, 3), 215, 137]-NRT-code), using strength reduction based on linear OOA(4²⁴⁴, 153, F₄, 3, 137) (dual of [(153, 3), 215, 138]-NRT-code), using

constructionÂ X applied to AG(3;F,291P) âŠ‚ AG(3;F,306P) [i] based on
1. 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, using
  - Drinfeld modules of rank 1 [i]
2. linear OOA(4²¹³, 143, F₄, 3, 122) (dual of [(143, 3), 216, 123]-NRT-code), using algebraic-geometric NRT-code AG(3;F,306P) [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.