MinT - Information on Result #2622145

Information on Result #2622145

Linear OOA(3¹²⁴, 50, F₃, 3, 74) (dual of [(50, 3), 26, 75]-NRT-code), using strength reduction based on linear OOA(3¹²⁴, 50, F₃, 3, 75) (dual of [(50, 3), 26, 76]-NRT-code), using

constructionÂ X applied to AG(3;F,65P) âŠ‚ AG(3;F,70P) [i] based on
1. linear OOA(3¹²⁰, 47, F₃, 3, 75) (dual of [(47, 3), 21, 76]-NRT-code), using algebraic-geometric NRT-code AG(3;F,65P) [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(3¹¹⁵, 47, F₃, 3, 70) (dual of [(47, 3), 26, 71]-NRT-code), using algebraic-geometric NRT-code AG(3;F,70P) [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.