MinT - Information on Result #1103515

Information on Result #1103515

Linear OOA(3⁹⁴, 25, F₃, 5, 45) (dual of [(25, 5), 31, 46]-NRT-code), using OOA 2-folding based on linear OOA(3⁹⁴, 50, F₃, 3, 45) (dual of [(50, 3), 56, 46]-NRT-code), using

constructionÂ X applied to AG(3;F,95P) âŠ‚ AG(3;F,100P) [i] based on
1. linear OOA(3⁹⁰, 47, F₃, 3, 45) (dual of [(47, 3), 51, 46]-NRT-code), using algebraic-geometric NRT-code AG(3;F,95P) [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(3⁸⁵, 47, F₃, 3, 40) (dual of [(47, 3), 56, 41]-NRT-code), using algebraic-geometric NRT-code AG(3;F,100P) [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.