MinT - Information on Result #2621600

Information on Result #2621600

Linear OOA(3¹⁰⁹, 50, F₃, 3, 59) (dual of [(50, 3), 41, 60]-NRT-code), using strength reduction based on linear OOA(3¹⁰⁹, 50, F₃, 3, 60) (dual of [(50, 3), 41, 61]-NRT-code), using

constructionÂ X applied to AG(3;F,80P) âŠ‚ AG(3;F,85P) [i] based on
1. linear OOA(3¹⁰⁵, 47, F₃, 3, 60) (dual of [(47, 3), 36, 61]-NRT-code), using algebraic-geometric NRT-code AG(3;F,80P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁰⁰, 47, F₃, 3, 55) (dual of [(47, 3), 41, 56]-NRT-code), using algebraic-geometric NRT-code AG(3;F,85P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3⁴, 3, F₃, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;5,3) [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.