MinT - Information on Result #2853440

Information on Result #2853440

Linear OOA(3¹⁷³, 50, F₃, 5, 120) (dual of [(50, 5), 77, 121]-NRT-code), using strength reduction based on linear OOA(3¹⁷³, 50, F₃, 5, 121) (dual of [(50, 5), 77, 122]-NRT-code), using

constructionÂ X applied to AG(5;F,113P) âŠ‚ AG(5;F,121P) [i] based on
1. linear OOA(3¹⁶⁶, 47, F₃, 5, 121) (dual of [(47, 5), 69, 122]-NRT-code), using algebraic-geometric NRT-code AG(5;F,113P) [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(3¹⁵⁸, 47, F₃, 5, 113) (dual of [(47, 5), 77, 114]-NRT-code), using algebraic-geometric NRT-code AG(5;F,121P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3⁷, 3, F₃, 5, 7) (dual of [(3, 5), 8, 8]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(5;8,3) [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.