MinT - Information on Result #2856679

Information on Result #2856679

Linear OOA(3²²², 50, F₃, 5, 169) (dual of [(50, 5), 28, 170]-NRT-code), using strength reduction based on linear OOA(3²²², 50, F₃, 5, 170) (dual of [(50, 5), 28, 171]-NRT-code), using

constructionÂ X applied to AG(5;F,64P) âŠ‚ AG(5;F,72P) [i] based on
1. linear OOA(3²¹⁵, 47, F₃, 5, 170) (dual of [(47, 5), 20, 171]-NRT-code), using algebraic-geometric NRT-code AG(5;F,64P) [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(3²⁰⁷, 47, F₃, 5, 162) (dual of [(47, 5), 28, 163]-NRT-code), using algebraic-geometric NRT-code AG(5;F,72P) [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.