MinT - Information on Result #2805798

Information on Result #2805798

Linear OOA(3¹⁴⁰, 43, F₃, 4, 99) (dual of [(43, 4), 32, 100]-NRT-code), using 3¹ times duplication based on linear OOA(3¹³⁹, 43, F₃, 4, 99) (dual of [(43, 4), 33, 100]-NRT-code), using

constructionÂ X applied to AG(4;F,22P) âŠ‚ AG(4;F,29P) [i] based on
1. linear OOA(3¹²⁵, 36, F₃, 4, 99) (dual of [(36, 4), 19, 100]-NRT-code), using algebraic-geometric NRT-code AG(4;F,22P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
2. linear OOA(3¹¹¹, 36, F₃, 4, 85) (dual of [(36, 4), 33, 86]-NRT-code), using algebraic-geometric NRT-code AG(4;F,29P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36 (see above)
3. linear OOA(3¹⁴, 7, F₃, 4, 13) (dual of [(7, 4), 14, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,14P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, 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.