MinT - Information on Result #2770785

Information on Result #2770785

Linear OOA(3¹⁴¹, 50, F₃, 4, 89) (dual of [(50, 4), 59, 90]-NRT-code), using strength reduction based on linear OOA(3¹⁴¹, 50, F₃, 4, 90) (dual of [(50, 4), 59, 91]-NRT-code), using

constructionÂ X applied to AG(4;F,97P) âŠ‚ AG(4;F,104P) [i] based on
1. linear OOA(3¹³⁵, 47, F₃, 4, 90) (dual of [(47, 4), 53, 91]-NRT-code), using algebraic-geometric NRT-code AG(4;F,97P) [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(3¹²⁸, 47, F₃, 4, 83) (dual of [(47, 4), 60, 84]-NRT-code), using algebraic-geometric NRT-code AG(4;F,104P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3⁶, 3, F₃, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(4;6,3) [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.