MinT - Information on Result #2774658

Information on Result #2774658

Linear OOA(3²⁰⁹, 60, F₃, 4, 140) (dual of [(60, 4), 31, 141]-NRT-code), using strength reduction based on linear OOA(3²⁰⁹, 60, F₃, 4, 141) (dual of [(60, 4), 31, 142]-NRT-code), using

constructionÂ X applied to AG(4;F,0P) âŠ‚ AG(4;F,28P) [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(3¹¹³, 36, F₃, 4, 87) (dual of [(36, 4), 31, 88]-NRT-code), using algebraic-geometric NRT-code AG(4;F,28P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36 (see above)
3. linear OOA(3⁶⁶, 24, F₃, 4, 53) (dual of [(24, 4), 30, 54]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,42P) [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.