MinT - Information on Result #1101715

Information on Result #1101715

Linear OOA(3⁴⁸, 17, F₃, 5, 23) (dual of [(17, 5), 37, 24]-NRT-code), using OOA 2-folding based on linear OOA(3⁴⁸, 34, F₃, 3, 23) (dual of [(34, 3), 54, 24]-NRT-code), using

constructionÂ X applied to AG(3;F,69P) âŠ‚ AG(3;F,74P) [i] based on
1. linear OOA(3⁴⁴, 31, F₃, 3, 23) (dual of [(31, 3), 49, 24]-NRT-code), using algebraic-geometric NRT-code AG(3;F,69P) [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(3³⁹, 31, F₃, 3, 18) (dual of [(31, 3), 54, 19]-NRT-code), using algebraic-geometric NRT-code AG(3;F,74P) [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.