MinT - Information on Result #2851594

Information on Result #2851594

Linear OOA(3¹³⁴, 51, F₃, 5, 78) (dual of [(51, 5), 121, 79]-NRT-code), using strength reduction based on linear OOA(3¹³⁴, 51, F₃, 5, 79) (dual of [(51, 5), 121, 80]-NRT-code), using

constructionÂ X applied to AG(5;F,155P) âŠ‚ AG(5;F,166P) [i] based on
1. linear OOA(3¹²⁴, 47, F₃, 5, 79) (dual of [(47, 5), 111, 80]-NRT-code), using algebraic-geometric NRT-code AG(5;F,155P) [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(3¹¹³, 47, F₃, 5, 68) (dual of [(47, 5), 122, 69]-NRT-code), using algebraic-geometric NRT-code AG(5;F,166P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3¹⁰, 4, F₃, 5, 10) (dual of [(4, 5), 10, 11]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(5;10,3) [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.