MinT - Information on Result #2851090

Information on Result #2851090

Linear OOA(3¹²¹, 50, F₃, 5, 68) (dual of [(50, 5), 129, 69]-NRT-code), using strength reduction based on linear OOA(3¹²¹, 50, F₃, 5, 69) (dual of [(50, 5), 129, 70]-NRT-code), using

constructionÂ X applied to AG(5;F,165P) âŠ‚ AG(5;F,173P) [i] based on
1. linear OOA(3¹¹⁴, 47, F₃, 5, 69) (dual of [(47, 5), 121, 70]-NRT-code), using algebraic-geometric NRT-code AG(5;F,165P) [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(3¹⁰⁶, 47, F₃, 5, 61) (dual of [(47, 5), 129, 62]-NRT-code), using algebraic-geometric NRT-code AG(5;F,173P) [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.