MinT - Information on Result #2786450

Information on Result #2786450

Linear OOA(3²⁰¹, 58, F₃, 4, 131) (dual of [(58, 4), 31, 132]-NRT-code), using 6 step truncation based on linear OOA(3²⁰⁷, 60, F₃, 4, 137) (dual of [(60, 4), 33, 138]-NRT-code), using

constructionÂ X applied to AG(4;F,0P) âŠ‚ AG(4;F,29P) [i] based on
1. linear OOA(3¹⁴³, 36, F₃, 4, 143) (dual of [(36, 4), 1, 144]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) 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(3⁶⁴, 24, F₃, 4, 51) (dual of [(24, 4), 32, 52]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,44P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [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.