MinT - Information on Result #1102713

Information on Result #1102713

Linear OOA(3⁵⁹, 17, F₃, 5, 34) (dual of [(17, 5), 26, 35]-NRT-code), using OOA 2-folding based on linear OOA(3⁵⁹, 34, F₃, 3, 34) (dual of [(34, 3), 43, 35]-NRT-code), using

constructionÂ X applied to AG(3;F,58P) âŠ‚ AG(3;F,63P) [i] based on
1. linear OOA(3⁵⁵, 31, F₃, 3, 34) (dual of [(31, 3), 38, 35]-NRT-code), using algebraic-geometric NRT-code AG(3;F,58P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁵⁰, 31, F₃, 3, 29) (dual of [(31, 3), 43, 30]-NRT-code), using algebraic-geometric NRT-code AG(3;F,63P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32 (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.